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Finding the Fourth Proportional to 794.57, 1,191.81 and 209.56

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Solution

The fourth proportional to 794.57, 1,191.81 and 209.56 is: 314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.57 : 1,191.81 = 209.56 : x
  2. Step 2: Convert to fraction form
    794.57/1,191.81 = 209.56/x
  3. Step 3: Cross multiply
    794.57x = 1,191.81 × 209.56
  4. Step 4: Simplify right side
    794.57x = 249,752.72
  5. Step 5: Solve for x
    x = 249,752.72/794.57
  6. Step 6: Final answer
    x = 314.33

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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.