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Finding the Fourth Proportional to 795.49, 1,192.61 and 362.14

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Solution

The fourth proportional to 795.49, 1,192.61 and 362.14 is: 542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.49 : 1,192.61 = 362.14 : x
  2. Step 2: Convert to fraction form
    795.49/1,192.61 = 362.14/x
  3. Step 3: Cross multiply
    795.49x = 1,192.61 × 362.14
  4. Step 4: Simplify right side
    795.49x = 431,889.97
  5. Step 5: Solve for x
    x = 431,889.97/795.49
  6. Step 6: Final answer
    x = 542.92

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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.