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Finding the Fourth Proportional to 836.22, 1,153.62 and 516.90

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Solution

The fourth proportional to 836.22, 1,153.62 and 516.90 is: 713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.22 : 1,153.62 = 516.90 : x
  2. Step 2: Convert to fraction form
    836.22/1,153.62 = 516.90/x
  3. Step 3: Cross multiply
    836.22x = 1,153.62 × 516.90
  4. Step 4: Simplify right side
    836.22x = 596,306.18
  5. Step 5: Solve for x
    x = 596,306.18/836.22
  6. Step 6: Final answer
    x = 713.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.