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Finding the Fourth Proportional to 864.44, 1,295.92 and 425.44

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Solution

The fourth proportional to 864.44, 1,295.92 and 425.44 is: 637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.44 : 1,295.92 = 425.44 : x
  2. Step 2: Convert to fraction form
    864.44/1,295.92 = 425.44/x
  3. Step 3: Cross multiply
    864.44x = 1,295.92 × 425.44
  4. Step 4: Simplify right side
    864.44x = 551,336.20
  5. Step 5: Solve for x
    x = 551,336.20/864.44
  6. Step 6: Final answer
    x = 637.80

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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.