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Finding the Fourth Proportional to 864.18, 1,296.63 and 539.64

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Solution

The fourth proportional to 864.18, 1,296.63 and 539.64 is: 809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.18 : 1,296.63 = 539.64 : x
  2. Step 2: Convert to fraction form
    864.18/1,296.63 = 539.64/x
  3. Step 3: Cross multiply
    864.18x = 1,296.63 × 539.64
  4. Step 4: Simplify right side
    864.18x = 699,713.41
  5. Step 5: Solve for x
    x = 699,713.41/864.18
  6. Step 6: Final answer
    x = 809.68

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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.