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Finding the Fourth Proportional to 729.97, 1,007.34 and 415.22

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Solution

The fourth proportional to 729.97, 1,007.34 and 415.22 is: 572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.97 : 1,007.34 = 415.22 : x
  2. Step 2: Convert to fraction form
    729.97/1,007.34 = 415.22/x
  3. Step 3: Cross multiply
    729.97x = 1,007.34 × 415.22
  4. Step 4: Simplify right side
    729.97x = 418,264.90
  5. Step 5: Solve for x
    x = 418,264.90/729.97
  6. Step 6: Final answer
    x = 572.99

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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.