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Finding the Fourth Proportional to 1,172.88, 1,760.13 and 865.53

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Solution

The fourth proportional to 1,172.88, 1,760.13 and 865.53 is: 1,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.88 : 1,760.13 = 865.53 : x
  2. Step 2: Convert to fraction form
    1,172.88/1,760.13 = 865.53/x
  3. Step 3: Cross multiply
    1,172.88x = 1,760.13 × 865.53
  4. Step 4: Simplify right side
    1,172.88x = 1,523,445.32
  5. Step 5: Solve for x
    x = 1,523,445.32/1,172.88
  6. Step 6: Final answer
    x = 1,298.89

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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.