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Finding the Fourth Proportional to 794.69, 1,191.06 and 563.65

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Solution

The fourth proportional to 794.69, 1,191.06 and 563.65 is: 844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.69 : 1,191.06 = 563.65 : x
  2. Step 2: Convert to fraction form
    794.69/1,191.06 = 563.65/x
  3. Step 3: Cross multiply
    794.69x = 1,191.06 × 563.65
  4. Step 4: Simplify right side
    794.69x = 671,340.97
  5. Step 5: Solve for x
    x = 671,340.97/794.69
  6. Step 6: Final answer
    x = 844.78

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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.