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Finding the Fourth Proportional to 1,104.60, 1,657.19 and 488.44

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Solution

The fourth proportional to 1,104.60, 1,657.19 and 488.44 is: 732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.60 : 1,657.19 = 488.44 : x
  2. Step 2: Convert to fraction form
    1,104.60/1,657.19 = 488.44/x
  3. Step 3: Cross multiply
    1,104.60x = 1,657.19 × 488.44
  4. Step 4: Simplify right side
    1,104.60x = 809,437.88
  5. Step 5: Solve for x
    x = 809,437.88/1,104.60
  6. Step 6: Final answer
    x = 732.79

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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.