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Finding the Fourth Proportional to 794.19, 1,191.68 and 383.68

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Solution

The fourth proportional to 794.19, 1,191.68 and 383.68 is: 575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.19 : 1,191.68 = 383.68 : x
  2. Step 2: Convert to fraction form
    794.19/1,191.68 = 383.68/x
  3. Step 3: Cross multiply
    794.19x = 1,191.68 × 383.68
  4. Step 4: Simplify right side
    794.19x = 457,223.78
  5. Step 5: Solve for x
    x = 457,223.78/794.19
  6. Step 6: Final answer
    x = 575.71

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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.