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Finding the Fourth Proportional to 1,251.32, 1,877.70 and 471.86

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Solution

The fourth proportional to 1,251.32, 1,877.70 and 471.86 is: 708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.32 : 1,877.70 = 471.86 : x
  2. Step 2: Convert to fraction form
    1,251.32/1,877.70 = 471.86/x
  3. Step 3: Cross multiply
    1,251.32x = 1,877.70 × 471.86
  4. Step 4: Simplify right side
    1,251.32x = 886,011.52
  5. Step 5: Solve for x
    x = 886,011.52/1,251.32
  6. Step 6: Final answer
    x = 708.06

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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.