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Finding the Fourth Proportional to 1,116.89, 1,539.52 and 880.45

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Solution

The fourth proportional to 1,116.89, 1,539.52 and 880.45 is: 1,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.89 : 1,539.52 = 880.45 : x
  2. Step 2: Convert to fraction form
    1,116.89/1,539.52 = 880.45/x
  3. Step 3: Cross multiply
    1,116.89x = 1,539.52 × 880.45
  4. Step 4: Simplify right side
    1,116.89x = 1,355,464.33
  5. Step 5: Solve for x
    x = 1,355,464.33/1,116.89
  6. Step 6: Final answer
    x = 1,213.61

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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.