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Finding the Fourth Proportional to 1,044.20, 1,563.42 and 610.60

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Solution

The fourth proportional to 1,044.20, 1,563.42 and 610.60 is: 914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.20 : 1,563.42 = 610.60 : x
  2. Step 2: Convert to fraction form
    1,044.20/1,563.42 = 610.60/x
  3. Step 3: Cross multiply
    1,044.20x = 1,563.42 × 610.60
  4. Step 4: Simplify right side
    1,044.20x = 954,624.25
  5. Step 5: Solve for x
    x = 954,624.25/1,044.20
  6. Step 6: Final answer
    x = 914.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.