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Finding the Fourth Proportional to 1,132.11, 1,696.59 and 514.31

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Solution

The fourth proportional to 1,132.11, 1,696.59 and 514.31 is: 770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.11 : 1,696.59 = 514.31 : x
  2. Step 2: Convert to fraction form
    1,132.11/1,696.59 = 514.31/x
  3. Step 3: Cross multiply
    1,132.11x = 1,696.59 × 514.31
  4. Step 4: Simplify right side
    1,132.11x = 872,564.72
  5. Step 5: Solve for x
    x = 872,564.72/1,132.11
  6. Step 6: Final answer
    x = 770.74

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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.