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Finding the Fourth Proportional to 1,109.80, 1,531.49 and 612.43

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Solution

The fourth proportional to 1,109.80, 1,531.49 and 612.43 is: 845.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.80 : 1,531.49 = 612.43 : x
  2. Step 2: Convert to fraction form
    1,109.80/1,531.49 = 612.43/x
  3. Step 3: Cross multiply
    1,109.80x = 1,531.49 × 612.43
  4. Step 4: Simplify right side
    1,109.80x = 937,930.42
  5. Step 5: Solve for x
    x = 937,930.42/1,109.80
  6. Step 6: Final answer
    x = 845.13

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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.