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Finding the Fourth Proportional to 726.76, 1,002.90 and 416.20

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Solution

The fourth proportional to 726.76, 1,002.90 and 416.20 is: 574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.76 : 1,002.90 = 416.20 : x
  2. Step 2: Convert to fraction form
    726.76/1,002.90 = 416.20/x
  3. Step 3: Cross multiply
    726.76x = 1,002.90 × 416.20
  4. Step 4: Simplify right side
    726.76x = 417,406.98
  5. Step 5: Solve for x
    x = 417,406.98/726.76
  6. Step 6: Final answer
    x = 574.34

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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.