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Finding the Fourth Proportional to 1,251.52, 1,725.48 and 857.86

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Solution

The fourth proportional to 1,251.52, 1,725.48 and 857.86 is: 1,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.52 : 1,725.48 = 857.86 : x
  2. Step 2: Convert to fraction form
    1,251.52/1,725.48 = 857.86/x
  3. Step 3: Cross multiply
    1,251.52x = 1,725.48 × 857.86
  4. Step 4: Simplify right side
    1,251.52x = 1,480,220.27
  5. Step 5: Solve for x
    x = 1,480,220.27/1,251.52
  6. Step 6: Final answer
    x = 1,182.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.