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Finding the Fourth Proportional to 1,251.60, 1,725.30 and 985.55

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Solution

The fourth proportional to 1,251.60, 1,725.30 and 985.55 is: 1,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.60 : 1,725.30 = 985.55 : x
  2. Step 2: Convert to fraction form
    1,251.60/1,725.30 = 985.55/x
  3. Step 3: Cross multiply
    1,251.60x = 1,725.30 × 985.55
  4. Step 4: Simplify right side
    1,251.60x = 1,700,377.77
  5. Step 5: Solve for x
    x = 1,700,377.77/1,251.60
  6. Step 6: Final answer
    x = 1,358.56

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