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Finding the Fourth Proportional to 836.25, 1,153.66 and 499.96

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Solution

The fourth proportional to 836.25, 1,153.66 and 499.96 is: 689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.25 : 1,153.66 = 499.96 : x
  2. Step 2: Convert to fraction form
    836.25/1,153.66 = 499.96/x
  3. Step 3: Cross multiply
    836.25x = 1,153.66 × 499.96
  4. Step 4: Simplify right side
    836.25x = 576,783.85
  5. Step 5: Solve for x
    x = 576,783.85/836.25
  6. Step 6: Final answer
    x = 689.73

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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.