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Finding the Fourth Proportional to 795.02, 1,192.49 and 247.18

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Solution

The fourth proportional to 795.02, 1,192.49 and 247.18 is: 370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.02 : 1,192.49 = 247.18 : x
  2. Step 2: Convert to fraction form
    795.02/1,192.49 = 247.18/x
  3. Step 3: Cross multiply
    795.02x = 1,192.49 × 247.18
  4. Step 4: Simplify right side
    795.02x = 294,759.68
  5. Step 5: Solve for x
    x = 294,759.68/795.02
  6. Step 6: Final answer
    x = 370.76

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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.