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Finding the Fourth Proportional to 1,102.06, 1,651.92 and 516.58

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Solution

The fourth proportional to 1,102.06, 1,651.92 and 516.58 is: 774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.06 : 1,651.92 = 516.58 : x
  2. Step 2: Convert to fraction form
    1,102.06/1,651.92 = 516.58/x
  3. Step 3: Cross multiply
    1,102.06x = 1,651.92 × 516.58
  4. Step 4: Simplify right side
    1,102.06x = 853,348.83
  5. Step 5: Solve for x
    x = 853,348.83/1,102.06
  6. Step 6: Final answer
    x = 774.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.