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Finding the Fourth Proportional to 1,116.10, 1,674.60 and 422.74

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Solution

The fourth proportional to 1,116.10, 1,674.60 and 422.74 is: 634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.10 : 1,674.60 = 422.74 : x
  2. Step 2: Convert to fraction form
    1,116.10/1,674.60 = 422.74/x
  3. Step 3: Cross multiply
    1,116.10x = 1,674.60 × 422.74
  4. Step 4: Simplify right side
    1,116.10x = 707,920.40
  5. Step 5: Solve for x
    x = 707,920.40/1,116.10
  6. Step 6: Final answer
    x = 634.28

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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.