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Finding the Fourth Proportional to 1,363.40, 2,044.60 and 439.20

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Solution

The fourth proportional to 1,363.40, 2,044.60 and 439.20 is: 658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.40 : 2,044.60 = 439.20 : x
  2. Step 2: Convert to fraction form
    1,363.40/2,044.60 = 439.20/x
  3. Step 3: Cross multiply
    1,363.40x = 2,044.60 × 439.20
  4. Step 4: Simplify right side
    1,363.40x = 897,988.32
  5. Step 5: Solve for x
    x = 897,988.32/1,363.40
  6. Step 6: Final answer
    x = 658.64

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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.