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Finding the Fourth Proportional to 1,123.69, 1,687.20 and 1,104.03

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Solution

The fourth proportional to 1,123.69, 1,687.20 and 1,104.03 is: 1,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.69 : 1,687.20 = 1,104.03 : x
  2. Step 2: Convert to fraction form
    1,123.69/1,687.20 = 1,104.03/x
  3. Step 3: Cross multiply
    1,123.69x = 1,687.20 × 1,104.03
  4. Step 4: Simplify right side
    1,123.69x = 1,862,719.42
  5. Step 5: Solve for x
    x = 1,862,719.42/1,123.69
  6. Step 6: Final answer
    x = 1,657.68

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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.