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Finding the Fourth Proportional to 795.38, 1,192.71 and 247.46

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Solution

The fourth proportional to 795.38, 1,192.71 and 247.46 is: 371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.38 : 1,192.71 = 247.46 : x
  2. Step 2: Convert to fraction form
    795.38/1,192.71 = 247.46/x
  3. Step 3: Cross multiply
    795.38x = 1,192.71 × 247.46
  4. Step 4: Simplify right side
    795.38x = 295,148.02
  5. Step 5: Solve for x
    x = 295,148.02/795.38
  6. Step 6: Final answer
    x = 371.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.