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Finding the Fourth Proportional to 918.72, 1,371.84 and 871.38

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Solution

The fourth proportional to 918.72, 1,371.84 and 871.38 is: 1,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.72 : 1,371.84 = 871.38 : x
  2. Step 2: Convert to fraction form
    918.72/1,371.84 = 871.38/x
  3. Step 3: Cross multiply
    918.72x = 1,371.84 × 871.38
  4. Step 4: Simplify right side
    918.72x = 1,195,393.94
  5. Step 5: Solve for x
    x = 1,195,393.94/918.72
  6. Step 6: Final answer
    x = 1,301.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.