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Finding the Fourth Proportional to 1,123.86, 1,551.07 and 681.74

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Solution

The fourth proportional to 1,123.86, 1,551.07 and 681.74 is: 940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.86 : 1,551.07 = 681.74 : x
  2. Step 2: Convert to fraction form
    1,123.86/1,551.07 = 681.74/x
  3. Step 3: Cross multiply
    1,123.86x = 1,551.07 × 681.74
  4. Step 4: Simplify right side
    1,123.86x = 1,057,415.30
  5. Step 5: Solve for x
    x = 1,057,415.30/1,123.86
  6. Step 6: Final answer
    x = 940.88

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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.