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Finding the Fourth Proportional to 726.19, 1,002.35 and 431.63

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Solution

The fourth proportional to 726.19, 1,002.35 and 431.63 is: 595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.19 : 1,002.35 = 431.63 : x
  2. Step 2: Convert to fraction form
    726.19/1,002.35 = 431.63/x
  3. Step 3: Cross multiply
    726.19x = 1,002.35 × 431.63
  4. Step 4: Simplify right side
    726.19x = 432,644.33
  5. Step 5: Solve for x
    x = 432,644.33/726.19
  6. Step 6: Final answer
    x = 595.78

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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.