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Finding the Fourth Proportional to 794.08, 1,191.12 and 280.96

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Solution

The fourth proportional to 794.08, 1,191.12 and 280.96 is: 421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.08 : 1,191.12 = 280.96 : x
  2. Step 2: Convert to fraction form
    794.08/1,191.12 = 280.96/x
  3. Step 3: Cross multiply
    794.08x = 1,191.12 × 280.96
  4. Step 4: Simplify right side
    794.08x = 334,657.08
  5. Step 5: Solve for x
    x = 334,657.08/794.08
  6. Step 6: Final answer
    x = 421.44

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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.