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Finding the Fourth Proportional to 726.02, 1,002.57 and 464.49

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Solution

The fourth proportional to 726.02, 1,002.57 and 464.49 is: 641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.02 : 1,002.57 = 464.49 : x
  2. Step 2: Convert to fraction form
    726.02/1,002.57 = 464.49/x
  3. Step 3: Cross multiply
    726.02x = 1,002.57 × 464.49
  4. Step 4: Simplify right side
    726.02x = 465,681.42
  5. Step 5: Solve for x
    x = 465,681.42/726.02
  6. Step 6: Final answer
    x = 641.42

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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.