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Finding the Fourth Proportional to 1,114.46, 1,671.24 and 871.28

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Solution

The fourth proportional to 1,114.46, 1,671.24 and 871.28 is: 1,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.46 : 1,671.24 = 871.28 : x
  2. Step 2: Convert to fraction form
    1,114.46/1,671.24 = 871.28/x
  3. Step 3: Cross multiply
    1,114.46x = 1,671.24 × 871.28
  4. Step 4: Simplify right side
    1,114.46x = 1,456,117.99
  5. Step 5: Solve for x
    x = 1,456,117.99/1,114.46
  6. Step 6: Final answer
    x = 1,306.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.