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Finding the Fourth Proportional to 1,034.22, 1,552.02 and 514.53

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Solution

The fourth proportional to 1,034.22, 1,552.02 and 514.53 is: 772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.22 : 1,552.02 = 514.53 : x
  2. Step 2: Convert to fraction form
    1,034.22/1,552.02 = 514.53/x
  3. Step 3: Cross multiply
    1,034.22x = 1,552.02 × 514.53
  4. Step 4: Simplify right side
    1,034.22x = 798,560.85
  5. Step 5: Solve for x
    x = 798,560.85/1,034.22
  6. Step 6: Final answer
    x = 772.14

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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.