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Finding the Fourth Proportional to 729.80, 1,007.09 and 415.10

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Solution

The fourth proportional to 729.80, 1,007.09 and 415.10 is: 572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.80 : 1,007.09 = 415.10 : x
  2. Step 2: Convert to fraction form
    729.80/1,007.09 = 415.10/x
  3. Step 3: Cross multiply
    729.80x = 1,007.09 × 415.10
  4. Step 4: Simplify right side
    729.80x = 418,043.06
  5. Step 5: Solve for x
    x = 418,043.06/729.80
  6. Step 6: Final answer
    x = 572.82

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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.