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Finding the Fourth Proportional to 1,123.14, 1,549.47 and 680.88

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Solution

The fourth proportional to 1,123.14, 1,549.47 and 680.88 is: 939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.14 : 1,549.47 = 680.88 : x
  2. Step 2: Convert to fraction form
    1,123.14/1,549.47 = 680.88/x
  3. Step 3: Cross multiply
    1,123.14x = 1,549.47 × 680.88
  4. Step 4: Simplify right side
    1,123.14x = 1,055,003.13
  5. Step 5: Solve for x
    x = 1,055,003.13/1,123.14
  6. Step 6: Final answer
    x = 939.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.