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Finding the Fourth Proportional to 1,251.20, 1,874.96 and 886.70

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Solution

The fourth proportional to 1,251.20, 1,874.96 and 886.70 is: 1,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.20 : 1,874.96 = 886.70 : x
  2. Step 2: Convert to fraction form
    1,251.20/1,874.96 = 886.70/x
  3. Step 3: Cross multiply
    1,251.20x = 1,874.96 × 886.70
  4. Step 4: Simplify right side
    1,251.20x = 1,662,527.03
  5. Step 5: Solve for x
    x = 1,662,527.03/1,251.20
  6. Step 6: Final answer
    x = 1,328.75

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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.