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Finding the Fourth Proportional to 794.90, 1,192.57 and 332.44

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Solution

The fourth proportional to 794.90, 1,192.57 and 332.44 is: 498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.90 : 1,192.57 = 332.44 : x
  2. Step 2: Convert to fraction form
    794.90/1,192.57 = 332.44/x
  3. Step 3: Cross multiply
    794.90x = 1,192.57 × 332.44
  4. Step 4: Simplify right side
    794.90x = 396,454.16
  5. Step 5: Solve for x
    x = 396,454.16/794.90
  6. Step 6: Final answer
    x = 498.75

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1.5x scale

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.