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Finding the Fourth Proportional to 1,503.14, 2,253.41 and 579.37

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Solution

The fourth proportional to 1,503.14, 2,253.41 and 579.37 is: 868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.14 : 2,253.41 = 579.37 : x
  2. Step 2: Convert to fraction form
    1,503.14/2,253.41 = 579.37/x
  3. Step 3: Cross multiply
    1,503.14x = 2,253.41 × 579.37
  4. Step 4: Simplify right side
    1,503.14x = 1,305,545.70
  5. Step 5: Solve for x
    x = 1,305,545.70/1,503.14
  6. Step 6: Final answer
    x = 868.54

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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.