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Finding the Fourth Proportional to 726.35, 1,002.34 and 431.62

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Solution

The fourth proportional to 726.35, 1,002.34 and 431.62 is: 595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.35 : 1,002.34 = 431.62 : x
  2. Step 2: Convert to fraction form
    726.35/1,002.34 = 431.62/x
  3. Step 3: Cross multiply
    726.35x = 1,002.34 × 431.62
  4. Step 4: Simplify right side
    726.35x = 432,628.02
  5. Step 5: Solve for x
    x = 432,628.02/726.35
  6. Step 6: Final answer
    x = 595.62

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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.