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Finding the Fourth Proportional to 1,049.20, 1,444.60 and 891.50

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Solution

The fourth proportional to 1,049.20, 1,444.60 and 891.50 is: 1,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.20 : 1,444.60 = 891.50 : x
  2. Step 2: Convert to fraction form
    1,049.20/1,444.60 = 891.50/x
  3. Step 3: Cross multiply
    1,049.20x = 1,444.60 × 891.50
  4. Step 4: Simplify right side
    1,049.20x = 1,287,860.90
  5. Step 5: Solve for x
    x = 1,287,860.90/1,049.20
  6. Step 6: Final answer
    x = 1,227.47

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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.