Home / 1,022.28-1,531.59-675.18

Finding the Fourth Proportional to 1,022.28, 1,531.59 and 675.18

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Solution

The fourth proportional to 1,022.28, 1,531.59 and 675.18 is: 1,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.28 : 1,531.59 = 675.18 : x
  2. Step 2: Convert to fraction form
    1,022.28/1,531.59 = 675.18/x
  3. Step 3: Cross multiply
    1,022.28x = 1,531.59 × 675.18
  4. Step 4: Simplify right side
    1,022.28x = 1,034,098.94
  5. Step 5: Solve for x
    x = 1,034,098.94/1,022.28
  6. Step 6: Final answer
    x = 1,011.56

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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.