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Finding the Fourth Proportional to 1,251.86, 1,876.68 and 471.38

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Solution

The fourth proportional to 1,251.86, 1,876.68 and 471.38 is: 706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.86 : 1,876.68 = 471.38 : x
  2. Step 2: Convert to fraction form
    1,251.86/1,876.68 = 471.38/x
  3. Step 3: Cross multiply
    1,251.86x = 1,876.68 × 471.38
  4. Step 4: Simplify right side
    1,251.86x = 884,629.42
  5. Step 5: Solve for x
    x = 884,629.42/1,251.86
  6. Step 6: Final answer
    x = 706.65

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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.