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Finding the Fourth Proportional to 1,129.60, 1,694.67 and 481.06

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Solution

The fourth proportional to 1,129.60, 1,694.67 and 481.06 is: 721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.60 : 1,694.67 = 481.06 : x
  2. Step 2: Convert to fraction form
    1,129.60/1,694.67 = 481.06/x
  3. Step 3: Cross multiply
    1,129.60x = 1,694.67 × 481.06
  4. Step 4: Simplify right side
    1,129.60x = 815,237.95
  5. Step 5: Solve for x
    x = 815,237.95/1,129.60
  6. Step 6: Final answer
    x = 721.70

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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.