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Finding the Fourth Proportional to 1,251.46, 1,726.12 and 809.50

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Solution

The fourth proportional to 1,251.46, 1,726.12 and 809.50 is: 1,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.46 : 1,726.12 = 809.50 : x
  2. Step 2: Convert to fraction form
    1,251.46/1,726.12 = 809.50/x
  3. Step 3: Cross multiply
    1,251.46x = 1,726.12 × 809.50
  4. Step 4: Simplify right side
    1,251.46x = 1,397,294.14
  5. Step 5: Solve for x
    x = 1,397,294.14/1,251.46
  6. Step 6: Final answer
    x = 1,116.53

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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.