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Finding the Fourth Proportional to 847.79, 1,169.43 and 560.33

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Solution

The fourth proportional to 847.79, 1,169.43 and 560.33 is: 772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.79 : 1,169.43 = 560.33 : x
  2. Step 2: Convert to fraction form
    847.79/1,169.43 = 560.33/x
  3. Step 3: Cross multiply
    847.79x = 1,169.43 × 560.33
  4. Step 4: Simplify right side
    847.79x = 655,269.71
  5. Step 5: Solve for x
    x = 655,269.71/847.79
  6. Step 6: Final answer
    x = 772.92

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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.