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Finding the Fourth Proportional to 729.74, 1,006.97 and 398.15

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Solution

The fourth proportional to 729.74, 1,006.97 and 398.15 is: 549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.74 : 1,006.97 = 398.15 : x
  2. Step 2: Convert to fraction form
    729.74/1,006.97 = 398.15/x
  3. Step 3: Cross multiply
    729.74x = 1,006.97 × 398.15
  4. Step 4: Simplify right side
    729.74x = 400,918.08
  5. Step 5: Solve for x
    x = 400,918.08/729.74
  6. Step 6: Final answer
    x = 549.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.