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Finding the Fourth Proportional to 794.42, 1,191.78 and 383.84

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Solution

The fourth proportional to 794.42, 1,191.78 and 383.84 is: 575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.42 : 1,191.78 = 383.84 : x
  2. Step 2: Convert to fraction form
    794.42/1,191.78 = 383.84/x
  3. Step 3: Cross multiply
    794.42x = 1,191.78 × 383.84
  4. Step 4: Simplify right side
    794.42x = 457,452.84
  5. Step 5: Solve for x
    x = 457,452.84/794.42
  6. Step 6: Final answer
    x = 575.83

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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.