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Finding the Fourth Proportional to 847, 1,167.84 and 598.24

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Solution

The fourth proportional to 847, 1,167.84 and 598.24 is: 824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    847 : 1,167.84 = 598.24 : x
  2. Step 2: Convert to fraction form
    847/1,167.84 = 598.24/x
  3. Step 3: Cross multiply
    847x = 1,167.84 × 598.24
  4. Step 4: Simplify right side
    847x = 698,648.60
  5. Step 5: Solve for x
    x = 698,648.60/847
  6. Step 6: Final answer
    x = 824.85

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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.