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Finding the Fourth Proportional to 1,109.61, 1,531.25 and 612.25

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Solution

The fourth proportional to 1,109.61, 1,531.25 and 612.25 is: 844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.61 : 1,531.25 = 612.25 : x
  2. Step 2: Convert to fraction form
    1,109.61/1,531.25 = 612.25/x
  3. Step 3: Cross multiply
    1,109.61x = 1,531.25 × 612.25
  4. Step 4: Simplify right side
    1,109.61x = 937,506.28
  5. Step 5: Solve for x
    x = 937,506.28/1,109.61
  6. Step 6: Final answer
    x = 844.90

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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.