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Finding the Fourth Proportional to 726.60, 1,002.24 and 416.10

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Solution

The fourth proportional to 726.60, 1,002.24 and 416.10 is: 573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.60 : 1,002.24 = 416.10 : x
  2. Step 2: Convert to fraction form
    726.60/1,002.24 = 416.10/x
  3. Step 3: Cross multiply
    726.60x = 1,002.24 × 416.10
  4. Step 4: Simplify right side
    726.60x = 417,032.06
  5. Step 5: Solve for x
    x = 417,032.06/726.60
  6. Step 6: Final answer
    x = 573.95

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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.