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Finding the Fourth Proportional to 1,123.89, 1,687.73 and 846.27

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Solution

The fourth proportional to 1,123.89, 1,687.73 and 846.27 is: 1,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.89 : 1,687.73 = 846.27 : x
  2. Step 2: Convert to fraction form
    1,123.89/1,687.73 = 846.27/x
  3. Step 3: Cross multiply
    1,123.89x = 1,687.73 × 846.27
  4. Step 4: Simplify right side
    1,123.89x = 1,428,271.04
  5. Step 5: Solve for x
    x = 1,428,271.04/1,123.89
  6. Step 6: Final answer
    x = 1,270.83

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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.