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Finding the Fourth Proportional to 1,141.97, 1,704.61 and 980.69

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Solution

The fourth proportional to 1,141.97, 1,704.61 and 980.69 is: 1,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.97 : 1,704.61 = 980.69 : x
  2. Step 2: Convert to fraction form
    1,141.97/1,704.61 = 980.69/x
  3. Step 3: Cross multiply
    1,141.97x = 1,704.61 × 980.69
  4. Step 4: Simplify right side
    1,141.97x = 1,671,693.98
  5. Step 5: Solve for x
    x = 1,671,693.98/1,141.97
  6. Step 6: Final answer
    x = 1,463.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.