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Finding the Fourth Proportional to 794.94, 1,192.56 and 383.79

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Solution

The fourth proportional to 794.94, 1,192.56 and 383.79 is: 575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.94 : 1,192.56 = 383.79 : x
  2. Step 2: Convert to fraction form
    794.94/1,192.56 = 383.79/x
  3. Step 3: Cross multiply
    794.94x = 1,192.56 × 383.79
  4. Step 4: Simplify right side
    794.94x = 457,692.60
  5. Step 5: Solve for x
    x = 457,692.60/794.94
  6. Step 6: Final answer
    x = 575.76

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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.