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Finding the Fourth Proportional to 1,126.74, 1,690.17 and 757.38

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Solution

The fourth proportional to 1,126.74, 1,690.17 and 757.38 is: 1,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.74 : 1,690.17 = 757.38 : x
  2. Step 2: Convert to fraction form
    1,126.74/1,690.17 = 757.38/x
  3. Step 3: Cross multiply
    1,126.74x = 1,690.17 × 757.38
  4. Step 4: Simplify right side
    1,126.74x = 1,280,100.95
  5. Step 5: Solve for x
    x = 1,280,100.95/1,126.74
  6. Step 6: Final answer
    x = 1,136.11

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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.