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Finding the Fourth Proportional to 864.75, 1,296.09 and 453.66

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Solution

The fourth proportional to 864.75, 1,296.09 and 453.66 is: 679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.75 : 1,296.09 = 453.66 : x
  2. Step 2: Convert to fraction form
    864.75/1,296.09 = 453.66/x
  3. Step 3: Cross multiply
    864.75x = 1,296.09 × 453.66
  4. Step 4: Simplify right side
    864.75x = 587,977.71
  5. Step 5: Solve for x
    x = 587,977.71/864.75
  6. Step 6: Final answer
    x = 679.94

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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.