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Finding the Fourth Proportional to 1,172.64, 1,754.76 and 863.76

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Solution

The fourth proportional to 1,172.64, 1,754.76 and 863.76 is: 1,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.64 : 1,754.76 = 863.76 : x
  2. Step 2: Convert to fraction form
    1,172.64/1,754.76 = 863.76/x
  3. Step 3: Cross multiply
    1,172.64x = 1,754.76 × 863.76
  4. Step 4: Simplify right side
    1,172.64x = 1,515,691.50
  5. Step 5: Solve for x
    x = 1,515,691.50/1,172.64
  6. Step 6: Final answer
    x = 1,292.55

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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.