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Finding the Fourth Proportional to 726.75, 1,002.92 and 416.43

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Solution

The fourth proportional to 726.75, 1,002.92 and 416.43 is: 574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.75 : 1,002.92 = 416.43 : x
  2. Step 2: Convert to fraction form
    726.75/1,002.92 = 416.43/x
  3. Step 3: Cross multiply
    726.75x = 1,002.92 × 416.43
  4. Step 4: Simplify right side
    726.75x = 417,643.89
  5. Step 5: Solve for x
    x = 417,643.89/726.75
  6. Step 6: Final answer
    x = 574.67

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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.