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Finding the Fourth Proportional to 726.64, 1,002.72 and 464.72

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Solution

The fourth proportional to 726.64, 1,002.72 and 464.72 is: 641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.64 : 1,002.72 = 464.72 : x
  2. Step 2: Convert to fraction form
    726.64/1,002.72 = 464.72/x
  3. Step 3: Cross multiply
    726.64x = 1,002.72 × 464.72
  4. Step 4: Simplify right side
    726.64x = 465,984.04
  5. Step 5: Solve for x
    x = 465,984.04/726.64
  6. Step 6: Final answer
    x = 641.29

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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.