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Finding the Fourth Proportional to 1,308.44, 1,961.06 and 614.20

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Solution

The fourth proportional to 1,308.44, 1,961.06 and 614.20 is: 920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.44 : 1,961.06 = 614.20 : x
  2. Step 2: Convert to fraction form
    1,308.44/1,961.06 = 614.20/x
  3. Step 3: Cross multiply
    1,308.44x = 1,961.06 × 614.20
  4. Step 4: Simplify right side
    1,308.44x = 1,204,483.05
  5. Step 5: Solve for x
    x = 1,204,483.05/1,308.44
  6. Step 6: Final answer
    x = 920.55

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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.