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Finding the Fourth Proportional to 1,120.52, 1,682.00 and 849.57

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Solution

The fourth proportional to 1,120.52, 1,682.00 and 849.57 is: 1,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.52 : 1,682.00 = 849.57 : x
  2. Step 2: Convert to fraction form
    1,120.52/1,682.00 = 849.57/x
  3. Step 3: Cross multiply
    1,120.52x = 1,682.00 × 849.57
  4. Step 4: Simplify right side
    1,120.52x = 1,428,972.49
  5. Step 5: Solve for x
    x = 1,428,972.49/1,120.52
  6. Step 6: Final answer
    x = 1,275.28

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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.