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Finding the Fourth Proportional to 1,331.99, 1,996.76 and 465.83

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Solution

The fourth proportional to 1,331.99, 1,996.76 and 465.83 is: 698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.99 : 1,996.76 = 465.83 : x
  2. Step 2: Convert to fraction form
    1,331.99/1,996.76 = 465.83/x
  3. Step 3: Cross multiply
    1,331.99x = 1,996.76 × 465.83
  4. Step 4: Simplify right side
    1,331.99x = 930,140.73
  5. Step 5: Solve for x
    x = 930,140.73/1,331.99
  6. Step 6: Final answer
    x = 698.31

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.