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Finding the Fourth Proportional to 726.88, 1,004.52 and 645.88

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Solution

The fourth proportional to 726.88, 1,004.52 and 645.88 is: 892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.88 : 1,004.52 = 645.88 : x
  2. Step 2: Convert to fraction form
    726.88/1,004.52 = 645.88/x
  3. Step 3: Cross multiply
    726.88x = 1,004.52 × 645.88
  4. Step 4: Simplify right side
    726.88x = 648,799.38
  5. Step 5: Solve for x
    x = 648,799.38/726.88
  6. Step 6: Final answer
    x = 892.58

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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.