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Finding the Fourth Proportional to 726.16, 1,002 and 427.42

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Solution

The fourth proportional to 726.16, 1,002 and 427.42 is: 589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.16 : 1,002 = 427.42 : x
  2. Step 2: Convert to fraction form
    726.16/1,002 = 427.42/x
  3. Step 3: Cross multiply
    726.16x = 1,002 × 427.42
  4. Step 4: Simplify right side
    726.16x = 428,274.84
  5. Step 5: Solve for x
    x = 428,274.84/726.16
  6. Step 6: Final answer
    x = 589.78

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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.