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Finding the Fourth Proportional to 1,264.76, 1,743.18 and 871.28

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Solution

The fourth proportional to 1,264.76, 1,743.18 and 871.28 is: 1,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.76 : 1,743.18 = 871.28 : x
  2. Step 2: Convert to fraction form
    1,264.76/1,743.18 = 871.28/x
  3. Step 3: Cross multiply
    1,264.76x = 1,743.18 × 871.28
  4. Step 4: Simplify right side
    1,264.76x = 1,518,797.87
  5. Step 5: Solve for x
    x = 1,518,797.87/1,264.76
  6. Step 6: Final answer
    x = 1,200.86

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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.