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Finding the Fourth Proportional to 794.76, 1,192.06 and 361.80

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Solution

The fourth proportional to 794.76, 1,192.06 and 361.80 is: 542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.76 : 1,192.06 = 361.80 : x
  2. Step 2: Convert to fraction form
    794.76/1,192.06 = 361.80/x
  3. Step 3: Cross multiply
    794.76x = 1,192.06 × 361.80
  4. Step 4: Simplify right side
    794.76x = 431,287.31
  5. Step 5: Solve for x
    x = 431,287.31/794.76
  6. Step 6: Final answer
    x = 542.66

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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.