Home / 1,102.04-1,652.27-516.73

Finding the Fourth Proportional to 1,102.04, 1,652.27 and 516.73

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Solution

The fourth proportional to 1,102.04, 1,652.27 and 516.73 is: 774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.04 : 1,652.27 = 516.73 : x
  2. Step 2: Convert to fraction form
    1,102.04/1,652.27 = 516.73/x
  3. Step 3: Cross multiply
    1,102.04x = 1,652.27 × 516.73
  4. Step 4: Simplify right side
    1,102.04x = 853,777.48
  5. Step 5: Solve for x
    x = 853,777.48/1,102.04
  6. Step 6: Final answer
    x = 774.72

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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.