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Finding the Fourth Proportional to 862.96, 1,294.64 and 472.85

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Solution

The fourth proportional to 862.96, 1,294.64 and 472.85 is: 709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.96 : 1,294.64 = 472.85 : x
  2. Step 2: Convert to fraction form
    862.96/1,294.64 = 472.85/x
  3. Step 3: Cross multiply
    862.96x = 1,294.64 × 472.85
  4. Step 4: Simplify right side
    862.96x = 612,170.52
  5. Step 5: Solve for x
    x = 612,170.52/862.96
  6. Step 6: Final answer
    x = 709.38

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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.