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Finding the Fourth Proportional to 726.51, 1,002.68 and 464.43

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Solution

The fourth proportional to 726.51, 1,002.68 and 464.43 is: 640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.51 : 1,002.68 = 464.43 : x
  2. Step 2: Convert to fraction form
    726.51/1,002.68 = 464.43/x
  3. Step 3: Cross multiply
    726.51x = 1,002.68 × 464.43
  4. Step 4: Simplify right side
    726.51x = 465,672.35
  5. Step 5: Solve for x
    x = 465,672.35/726.51
  6. Step 6: Final answer
    x = 640.97

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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.