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Finding the Fourth Proportional to 864.02, 1,296.44 and 453.56

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Solution

The fourth proportional to 864.02, 1,296.44 and 453.56 is: 680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.02 : 1,296.44 = 453.56 : x
  2. Step 2: Convert to fraction form
    864.02/1,296.44 = 453.56/x
  3. Step 3: Cross multiply
    864.02x = 1,296.44 × 453.56
  4. Step 4: Simplify right side
    864.02x = 588,004.58
  5. Step 5: Solve for x
    x = 588,004.58/864.02
  6. Step 6: Final answer
    x = 680.55

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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.