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Finding the Fourth Proportional to 1,175.30, 1,761.68 and 516.59

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Solution

The fourth proportional to 1,175.30, 1,761.68 and 516.59 is: 774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.30 : 1,761.68 = 516.59 : x
  2. Step 2: Convert to fraction form
    1,175.30/1,761.68 = 516.59/x
  3. Step 3: Cross multiply
    1,175.30x = 1,761.68 × 516.59
  4. Step 4: Simplify right side
    1,175.30x = 910,064.39
  5. Step 5: Solve for x
    x = 910,064.39/1,175.30
  6. Step 6: Final answer
    x = 774.33

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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.