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Finding the Fourth Proportional to 1,231.17, 1,842.30 and 769.20

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Solution

The fourth proportional to 1,231.17, 1,842.30 and 769.20 is: 1,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.17 : 1,842.30 = 769.20 : x
  2. Step 2: Convert to fraction form
    1,231.17/1,842.30 = 769.20/x
  3. Step 3: Cross multiply
    1,231.17x = 1,842.30 × 769.20
  4. Step 4: Simplify right side
    1,231.17x = 1,417,097.16
  5. Step 5: Solve for x
    x = 1,417,097.16/1,231.17
  6. Step 6: Final answer
    x = 1,151.02

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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.