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Finding the Fourth Proportional to 1,305.97, 1,958.24 and 980.66

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Solution

The fourth proportional to 1,305.97, 1,958.24 and 980.66 is: 1,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.97 : 1,958.24 = 980.66 : x
  2. Step 2: Convert to fraction form
    1,305.97/1,958.24 = 980.66/x
  3. Step 3: Cross multiply
    1,305.97x = 1,958.24 × 980.66
  4. Step 4: Simplify right side
    1,305.97x = 1,920,363.97
  5. Step 5: Solve for x
    x = 1,920,363.97/1,305.97
  6. Step 6: Final answer
    x = 1,470.45

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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.