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Finding the Fourth Proportional to 794.63, 1,191.12 and 332.66

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Solution

The fourth proportional to 794.63, 1,191.12 and 332.66 is: 498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.63 : 1,191.12 = 332.66 : x
  2. Step 2: Convert to fraction form
    794.63/1,191.12 = 332.66/x
  3. Step 3: Cross multiply
    794.63x = 1,191.12 × 332.66
  4. Step 4: Simplify right side
    794.63x = 396,232.02
  5. Step 5: Solve for x
    x = 396,232.02/794.63
  6. Step 6: Final answer
    x = 498.64

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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.