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Finding the Fourth Proportional to 1,143.56, 1,712.31 and 674.66

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Solution

The fourth proportional to 1,143.56, 1,712.31 and 674.66 is: 1,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.56 : 1,712.31 = 674.66 : x
  2. Step 2: Convert to fraction form
    1,143.56/1,712.31 = 674.66/x
  3. Step 3: Cross multiply
    1,143.56x = 1,712.31 × 674.66
  4. Step 4: Simplify right side
    1,143.56x = 1,155,227.06
  5. Step 5: Solve for x
    x = 1,155,227.06/1,143.56
  6. Step 6: Final answer
    x = 1,010.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.