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Finding the Fourth Proportional to 726.46, 1,001.91 and 595.24

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Solution

The fourth proportional to 726.46, 1,001.91 and 595.24 is: 820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.46 : 1,001.91 = 595.24 : x
  2. Step 2: Convert to fraction form
    726.46/1,001.91 = 595.24/x
  3. Step 3: Cross multiply
    726.46x = 1,001.91 × 595.24
  4. Step 4: Simplify right side
    726.46x = 596,376.91
  5. Step 5: Solve for x
    x = 596,376.91/726.46
  6. Step 6: Final answer
    x = 820.94

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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.