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Finding the Fourth Proportional to 795.25, 1,192.88 and 339.25

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Solution

The fourth proportional to 795.25, 1,192.88 and 339.25 is: 508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.25 : 1,192.88 = 339.25 : x
  2. Step 2: Convert to fraction form
    795.25/1,192.88 = 339.25/x
  3. Step 3: Cross multiply
    795.25x = 1,192.88 × 339.25
  4. Step 4: Simplify right side
    795.25x = 404,684.54
  5. Step 5: Solve for x
    x = 404,684.54/795.25
  6. Step 6: Final answer
    x = 508.88

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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.