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Finding the Fourth Proportional to 865.06, 1,192.08 and 615.68

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Solution

The fourth proportional to 865.06, 1,192.08 and 615.68 is: 848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.06 : 1,192.08 = 615.68 : x
  2. Step 2: Convert to fraction form
    865.06/1,192.08 = 615.68/x
  3. Step 3: Cross multiply
    865.06x = 1,192.08 × 615.68
  4. Step 4: Simplify right side
    865.06x = 733,942.79
  5. Step 5: Solve for x
    x = 733,942.79/865.06
  6. Step 6: Final answer
    x = 848.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.