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Finding the Fourth Proportional to 1,175.16, 1,763.24 and 516.70

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Solution

The fourth proportional to 1,175.16, 1,763.24 and 516.70 is: 775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.16 : 1,763.24 = 516.70 : x
  2. Step 2: Convert to fraction form
    1,175.16/1,763.24 = 516.70/x
  3. Step 3: Cross multiply
    1,175.16x = 1,763.24 × 516.70
  4. Step 4: Simplify right side
    1,175.16x = 911,066.11
  5. Step 5: Solve for x
    x = 911,066.11/1,175.16
  6. Step 6: Final answer
    x = 775.27

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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.