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Finding the Fourth Proportional to 1,132.84, 1,698.44 and 516.23

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Solution

The fourth proportional to 1,132.84, 1,698.44 and 516.23 is: 773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.84 : 1,698.44 = 516.23 : x
  2. Step 2: Convert to fraction form
    1,132.84/1,698.44 = 516.23/x
  3. Step 3: Cross multiply
    1,132.84x = 1,698.44 × 516.23
  4. Step 4: Simplify right side
    1,132.84x = 876,777.19
  5. Step 5: Solve for x
    x = 876,777.19/1,132.84
  6. Step 6: Final answer
    x = 773.97

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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.