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Finding the Fourth Proportional to 1,132.11, 1,696.56 and 514.29

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Solution

The fourth proportional to 1,132.11, 1,696.56 and 514.29 is: 770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.11 : 1,696.56 = 514.29 : x
  2. Step 2: Convert to fraction form
    1,132.11/1,696.56 = 514.29/x
  3. Step 3: Cross multiply
    1,132.11x = 1,696.56 × 514.29
  4. Step 4: Simplify right side
    1,132.11x = 872,523.84
  5. Step 5: Solve for x
    x = 872,523.84/1,132.11
  6. Step 6: Final answer
    x = 770.71

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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.