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Finding the Fourth Proportional to 794.84, 1,192.38 and 362.12

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Solution

The fourth proportional to 794.84, 1,192.38 and 362.12 is: 543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.84 : 1,192.38 = 362.12 : x
  2. Step 2: Convert to fraction form
    794.84/1,192.38 = 362.12/x
  3. Step 3: Cross multiply
    794.84x = 1,192.38 × 362.12
  4. Step 4: Simplify right side
    794.84x = 431,784.65
  5. Step 5: Solve for x
    x = 431,784.65/794.84
  6. Step 6: Final answer
    x = 543.23

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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.