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Finding the Fourth Proportional to 1,505.76, 2,257.92 and 726.12

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Solution

The fourth proportional to 1,505.76, 2,257.92 and 726.12 is: 1,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.76 : 2,257.92 = 726.12 : x
  2. Step 2: Convert to fraction form
    1,505.76/2,257.92 = 726.12/x
  3. Step 3: Cross multiply
    1,505.76x = 2,257.92 × 726.12
  4. Step 4: Simplify right side
    1,505.76x = 1,639,520.87
  5. Step 5: Solve for x
    x = 1,639,520.87/1,505.76
  6. Step 6: Final answer
    x = 1,088.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.