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Finding the Fourth Proportional to 847.24, 1,169.42 and 515.78

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Solution

The fourth proportional to 847.24, 1,169.42 and 515.78 is: 711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.24 : 1,169.42 = 515.78 : x
  2. Step 2: Convert to fraction form
    847.24/1,169.42 = 515.78/x
  3. Step 3: Cross multiply
    847.24x = 1,169.42 × 515.78
  4. Step 4: Simplify right side
    847.24x = 603,163.45
  5. Step 5: Solve for x
    x = 603,163.45/847.24
  6. Step 6: Final answer
    x = 711.92

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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.