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Finding the Fourth Proportional to 726.34, 1,002.56 and 442.86

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Solution

The fourth proportional to 726.34, 1,002.56 and 442.86 is: 611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.34 : 1,002.56 = 442.86 : x
  2. Step 2: Convert to fraction form
    726.34/1,002.56 = 442.86/x
  3. Step 3: Cross multiply
    726.34x = 1,002.56 × 442.86
  4. Step 4: Simplify right side
    726.34x = 443,993.72
  5. Step 5: Solve for x
    x = 443,993.72/726.34
  6. Step 6: Final answer
    x = 611.28

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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.