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Finding the Fourth Proportional to 1,251.47, 1,876.30 and 471.41

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Solution

The fourth proportional to 1,251.47, 1,876.30 and 471.41 is: 706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.47 : 1,876.30 = 471.41 : x
  2. Step 2: Convert to fraction form
    1,251.47/1,876.30 = 471.41/x
  3. Step 3: Cross multiply
    1,251.47x = 1,876.30 × 471.41
  4. Step 4: Simplify right side
    1,251.47x = 884,502.41
  5. Step 5: Solve for x
    x = 884,502.41/1,251.47
  6. Step 6: Final answer
    x = 706.77

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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.