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Finding the Fourth Proportional to 1,330.77, 1,996.15 and 599.49

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Solution

The fourth proportional to 1,330.77, 1,996.15 and 599.49 is: 899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.77 : 1,996.15 = 599.49 : x
  2. Step 2: Convert to fraction form
    1,330.77/1,996.15 = 599.49/x
  3. Step 3: Cross multiply
    1,330.77x = 1,996.15 × 599.49
  4. Step 4: Simplify right side
    1,330.77x = 1,196,671.96
  5. Step 5: Solve for x
    x = 1,196,671.96/1,330.77
  6. Step 6: Final answer
    x = 899.23

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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.