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Finding the Fourth Proportional to 726.08, 1,002.10 and 431.42

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Solution

The fourth proportional to 726.08, 1,002.10 and 431.42 is: 595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.08 : 1,002.10 = 431.42 : x
  2. Step 2: Convert to fraction form
    726.08/1,002.10 = 431.42/x
  3. Step 3: Cross multiply
    726.08x = 1,002.10 × 431.42
  4. Step 4: Simplify right side
    726.08x = 432,325.98
  5. Step 5: Solve for x
    x = 432,325.98/726.08
  6. Step 6: Final answer
    x = 595.42

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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.