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Finding the Fourth Proportional to 1,251.85, 1,725.71 and 985.44

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Solution

The fourth proportional to 1,251.85, 1,725.71 and 985.44 is: 1,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.85 : 1,725.71 = 985.44 : x
  2. Step 2: Convert to fraction form
    1,251.85/1,725.71 = 985.44/x
  3. Step 3: Cross multiply
    1,251.85x = 1,725.71 × 985.44
  4. Step 4: Simplify right side
    1,251.85x = 1,700,579.65
  5. Step 5: Solve for x
    x = 1,700,579.65/1,251.85
  6. Step 6: Final answer
    x = 1,358.45

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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.