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Finding the Fourth Proportional to 726.64, 1,002.90 and 464.68

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Solution

The fourth proportional to 726.64, 1,002.90 and 464.68 is: 641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.64 : 1,002.90 = 464.68 : x
  2. Step 2: Convert to fraction form
    726.64/1,002.90 = 464.68/x
  3. Step 3: Cross multiply
    726.64x = 1,002.90 × 464.68
  4. Step 4: Simplify right side
    726.64x = 466,027.57
  5. Step 5: Solve for x
    x = 466,027.57/726.64
  6. Step 6: Final answer
    x = 641.35

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