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Finding the Fourth Proportional to 726.30, 1,001.67 and 586.38

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Solution

The fourth proportional to 726.30, 1,001.67 and 586.38 is: 808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.30 : 1,001.67 = 586.38 : x
  2. Step 2: Convert to fraction form
    726.30/1,001.67 = 586.38/x
  3. Step 3: Cross multiply
    726.30x = 1,001.67 × 586.38
  4. Step 4: Simplify right side
    726.30x = 587,359.25
  5. Step 5: Solve for x
    x = 587,359.25/726.30
  6. Step 6: Final answer
    x = 808.70

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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.