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Finding the Fourth Proportional to 864, 1,294.18 and 816.08

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Solution

The fourth proportional to 864, 1,294.18 and 816.08 is: 1,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,294.18 = 816.08 : x
  2. Step 2: Convert to fraction form
    864/1,294.18 = 816.08/x
  3. Step 3: Cross multiply
    864x = 1,294.18 × 816.08
  4. Step 4: Simplify right side
    864x = 1,056,145.90
  5. Step 5: Solve for x
    x = 1,056,145.90/864
  6. Step 6: Final answer
    x = 1,222.39

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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.