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Finding the Fourth Proportional to 794.99, 1,192.20 and 332.52

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Solution

The fourth proportional to 794.99, 1,192.20 and 332.52 is: 498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.99 : 1,192.20 = 332.52 : x
  2. Step 2: Convert to fraction form
    794.99/1,192.20 = 332.52/x
  3. Step 3: Cross multiply
    794.99x = 1,192.20 × 332.52
  4. Step 4: Simplify right side
    794.99x = 396,430.34
  5. Step 5: Solve for x
    x = 396,430.34/794.99
  6. Step 6: Final answer
    x = 498.66

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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.