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Finding the Fourth Proportional to 1,074.83, 1,610.24 and 902.61

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Solution

The fourth proportional to 1,074.83, 1,610.24 and 902.61 is: 1,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.83 : 1,610.24 = 902.61 : x
  2. Step 2: Convert to fraction form
    1,074.83/1,610.24 = 902.61/x
  3. Step 3: Cross multiply
    1,074.83x = 1,610.24 × 902.61
  4. Step 4: Simplify right side
    1,074.83x = 1,453,414.21
  5. Step 5: Solve for x
    x = 1,453,414.21/1,074.83
  6. Step 6: Final answer
    x = 1,352.23

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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.