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Finding the Fourth Proportional to 1,123.89, 1,686.05 and 343.97

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Solution

The fourth proportional to 1,123.89, 1,686.05 and 343.97 is: 516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.89 : 1,686.05 = 343.97 : x
  2. Step 2: Convert to fraction form
    1,123.89/1,686.05 = 343.97/x
  3. Step 3: Cross multiply
    1,123.89x = 1,686.05 × 343.97
  4. Step 4: Simplify right side
    1,123.89x = 579,940.47
  5. Step 5: Solve for x
    x = 579,940.47/1,123.89
  6. Step 6: Final answer
    x = 516.01

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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.