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Finding the Fourth Proportional to 1,553.73, 2,330.42 and 579.57

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Solution

The fourth proportional to 1,553.73, 2,330.42 and 579.57 is: 869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.73 : 2,330.42 = 579.57 : x
  2. Step 2: Convert to fraction form
    1,553.73/2,330.42 = 579.57/x
  3. Step 3: Cross multiply
    1,553.73x = 2,330.42 × 579.57
  4. Step 4: Simplify right side
    1,553.73x = 1,350,638.62
  5. Step 5: Solve for x
    x = 1,350,638.62/1,553.73
  6. Step 6: Final answer
    x = 869.29

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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.