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Finding the Fourth Proportional to 1,402.57, 1,935.60 and 871.75

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Solution

The fourth proportional to 1,402.57, 1,935.60 and 871.75 is: 1,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.57 : 1,935.60 = 871.75 : x
  2. Step 2: Convert to fraction form
    1,402.57/1,935.60 = 871.75/x
  3. Step 3: Cross multiply
    1,402.57x = 1,935.60 × 871.75
  4. Step 4: Simplify right side
    1,402.57x = 1,687,359.30
  5. Step 5: Solve for x
    x = 1,687,359.30/1,402.57
  6. Step 6: Final answer
    x = 1,203.05

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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.