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Finding the Fourth Proportional to 1,109.43, 1,531.09 and 612.18

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Solution

The fourth proportional to 1,109.43, 1,531.09 and 612.18 is: 844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.43 : 1,531.09 = 612.18 : x
  2. Step 2: Convert to fraction form
    1,109.43/1,531.09 = 612.18/x
  3. Step 3: Cross multiply
    1,109.43x = 1,531.09 × 612.18
  4. Step 4: Simplify right side
    1,109.43x = 937,302.68
  5. Step 5: Solve for x
    x = 937,302.68/1,109.43
  6. Step 6: Final answer
    x = 844.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.