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Finding the Fourth Proportional to 865.75, 1,194.89 and 511.65

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Solution

The fourth proportional to 865.75, 1,194.89 and 511.65 is: 706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.75 : 1,194.89 = 511.65 : x
  2. Step 2: Convert to fraction form
    865.75/1,194.89 = 511.65/x
  3. Step 3: Cross multiply
    865.75x = 1,194.89 × 511.65
  4. Step 4: Simplify right side
    865.75x = 611,367.39
  5. Step 5: Solve for x
    x = 611,367.39/865.75
  6. Step 6: Final answer
    x = 706.17

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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.