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Finding the Fourth Proportional to 847.49, 1,169.51 and 515.79

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Solution

The fourth proportional to 847.49, 1,169.51 and 515.79 is: 711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.49 : 1,169.51 = 515.79 : x
  2. Step 2: Convert to fraction form
    847.49/1,169.51 = 515.79/x
  3. Step 3: Cross multiply
    847.49x = 1,169.51 × 515.79
  4. Step 4: Simplify right side
    847.49x = 603,218.98
  5. Step 5: Solve for x
    x = 603,218.98/847.49
  6. Step 6: Final answer
    x = 711.78

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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.