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Finding the Fourth Proportional to 847.96, 1,269.42 and 522.28

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Solution

The fourth proportional to 847.96, 1,269.42 and 522.28 is: 781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.96 : 1,269.42 = 522.28 : x
  2. Step 2: Convert to fraction form
    847.96/1,269.42 = 522.28/x
  3. Step 3: Cross multiply
    847.96x = 1,269.42 × 522.28
  4. Step 4: Simplify right side
    847.96x = 662,992.68
  5. Step 5: Solve for x
    x = 662,992.68/847.96
  6. Step 6: Final answer
    x = 781.87

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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.