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Finding the Fourth Proportional to 1,331.98, 1,998.86 and 466.29

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Solution

The fourth proportional to 1,331.98, 1,998.86 and 466.29 is: 699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.98 : 1,998.86 = 466.29 : x
  2. Step 2: Convert to fraction form
    1,331.98/1,998.86 = 466.29/x
  3. Step 3: Cross multiply
    1,331.98x = 1,998.86 × 466.29
  4. Step 4: Simplify right side
    1,331.98x = 932,053.43
  5. Step 5: Solve for x
    x = 932,053.43/1,331.98
  6. Step 6: Final answer
    x = 699.75

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Double scale
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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.