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Finding the Fourth Proportional to 1,132.84, 1,697.77 and 516.43

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Solution

The fourth proportional to 1,132.84, 1,697.77 and 516.43 is: 773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.84 : 1,697.77 = 516.43 : x
  2. Step 2: Convert to fraction form
    1,132.84/1,697.77 = 516.43/x
  3. Step 3: Cross multiply
    1,132.84x = 1,697.77 × 516.43
  4. Step 4: Simplify right side
    1,132.84x = 876,779.36
  5. Step 5: Solve for x
    x = 876,779.36/1,132.84
  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.