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Finding the Fourth Proportional to 1,127.46, 1,689.74 and 980.59

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Solution

The fourth proportional to 1,127.46, 1,689.74 and 980.59 is: 1,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.46 : 1,689.74 = 980.59 : x
  2. Step 2: Convert to fraction form
    1,127.46/1,689.74 = 980.59/x
  3. Step 3: Cross multiply
    1,127.46x = 1,689.74 × 980.59
  4. Step 4: Simplify right side
    1,127.46x = 1,656,942.15
  5. Step 5: Solve for x
    x = 1,656,942.15/1,127.46
  6. Step 6: Final answer
    x = 1,469.62

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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.