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Finding the Fourth Proportional to 1,227.75, 1,841.31 and 763.82

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Solution

The fourth proportional to 1,227.75, 1,841.31 and 763.82 is: 1,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.75 : 1,841.31 = 763.82 : x
  2. Step 2: Convert to fraction form
    1,227.75/1,841.31 = 763.82/x
  3. Step 3: Cross multiply
    1,227.75x = 1,841.31 × 763.82
  4. Step 4: Simplify right side
    1,227.75x = 1,406,420.20
  5. Step 5: Solve for x
    x = 1,406,420.20/1,227.75
  6. Step 6: Final answer
    x = 1,145.53

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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.