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Finding the Fourth Proportional to 726.65, 1,001.78 and 499.52

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Solution

The fourth proportional to 726.65, 1,001.78 and 499.52 is: 688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.65 : 1,001.78 = 499.52 : x
  2. Step 2: Convert to fraction form
    726.65/1,001.78 = 499.52/x
  3. Step 3: Cross multiply
    726.65x = 1,001.78 × 499.52
  4. Step 4: Simplify right side
    726.65x = 500,409.15
  5. Step 5: Solve for x
    x = 500,409.15/726.65
  6. Step 6: Final answer
    x = 688.65

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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.