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Finding the Fourth Proportional to 1,503.38, 2,253.24 and 773.57

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Solution

The fourth proportional to 1,503.38, 2,253.24 and 773.57 is: 1,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.38 : 2,253.24 = 773.57 : x
  2. Step 2: Convert to fraction form
    1,503.38/2,253.24 = 773.57/x
  3. Step 3: Cross multiply
    1,503.38x = 2,253.24 × 773.57
  4. Step 4: Simplify right side
    1,503.38x = 1,743,027.60
  5. Step 5: Solve for x
    x = 1,743,027.60/1,503.38
  6. Step 6: Final answer
    x = 1,159.41

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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.