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Finding the Fourth Proportional to 1,229.18, 1,696.71 and 757.15

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Solution

The fourth proportional to 1,229.18, 1,696.71 and 757.15 is: 1,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.18 : 1,696.71 = 757.15 : x
  2. Step 2: Convert to fraction form
    1,229.18/1,696.71 = 757.15/x
  3. Step 3: Cross multiply
    1,229.18x = 1,696.71 × 757.15
  4. Step 4: Simplify right side
    1,229.18x = 1,284,662.57
  5. Step 5: Solve for x
    x = 1,284,662.57/1,229.18
  6. Step 6: Final answer
    x = 1,045.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.