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Finding the Fourth Proportional to 847.96, 1,169.82 and 599.24

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Solution

The fourth proportional to 847.96, 1,169.82 and 599.24 is: 826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.96 : 1,169.82 = 599.24 : x
  2. Step 2: Convert to fraction form
    847.96/1,169.82 = 599.24/x
  3. Step 3: Cross multiply
    847.96x = 1,169.82 × 599.24
  4. Step 4: Simplify right side
    847.96x = 701,002.94
  5. Step 5: Solve for x
    x = 701,002.94/847.96
  6. Step 6: Final answer
    x = 826.69

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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.