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Finding the Fourth Proportional to 726.46, 1,002.17 and 427.61

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Solution

The fourth proportional to 726.46, 1,002.17 and 427.61 is: 589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.46 : 1,002.17 = 427.61 : x
  2. Step 2: Convert to fraction form
    726.46/1,002.17 = 427.61/x
  3. Step 3: Cross multiply
    726.46x = 1,002.17 × 427.61
  4. Step 4: Simplify right side
    726.46x = 428,541.49
  5. Step 5: Solve for x
    x = 428,541.49/726.46
  6. Step 6: Final answer
    x = 589.91

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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.