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Finding the Fourth Proportional to 726.42, 1,002.45 and 477.87

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Solution

The fourth proportional to 726.42, 1,002.45 and 477.87 is: 659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.42 : 1,002.45 = 477.87 : x
  2. Step 2: Convert to fraction form
    726.42/1,002.45 = 477.87/x
  3. Step 3: Cross multiply
    726.42x = 1,002.45 × 477.87
  4. Step 4: Simplify right side
    726.42x = 479,045.93
  5. Step 5: Solve for x
    x = 479,045.93/726.42
  6. Step 6: Final answer
    x = 659.46

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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.