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Finding the Fourth Proportional to 1,251.18, 1,876.91 and 471.15

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Solution

The fourth proportional to 1,251.18, 1,876.91 and 471.15 is: 706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.18 : 1,876.91 = 471.15 : x
  2. Step 2: Convert to fraction form
    1,251.18/1,876.91 = 471.15/x
  3. Step 3: Cross multiply
    1,251.18x = 1,876.91 × 471.15
  4. Step 4: Simplify right side
    1,251.18x = 884,303.79
  5. Step 5: Solve for x
    x = 884,303.79/1,251.18
  6. Step 6: Final answer
    x = 706.78

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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.