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Finding the Fourth Proportional to 1,116.24, 1,674.20 and 568.82

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Solution

The fourth proportional to 1,116.24, 1,674.20 and 568.82 is: 853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.24 : 1,674.20 = 568.82 : x
  2. Step 2: Convert to fraction form
    1,116.24/1,674.20 = 568.82/x
  3. Step 3: Cross multiply
    1,116.24x = 1,674.20 × 568.82
  4. Step 4: Simplify right side
    1,116.24x = 952,318.44
  5. Step 5: Solve for x
    x = 952,318.44/1,116.24
  6. Step 6: Final answer
    x = 853.15

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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.