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Finding the Fourth Proportional to 864.42, 1,297.16 and 453.85

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Solution

The fourth proportional to 864.42, 1,297.16 and 453.85 is: 681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.42 : 1,297.16 = 453.85 : x
  2. Step 2: Convert to fraction form
    864.42/1,297.16 = 453.85/x
  3. Step 3: Cross multiply
    864.42x = 1,297.16 × 453.85
  4. Step 4: Simplify right side
    864.42x = 588,722.11
  5. Step 5: Solve for x
    x = 588,722.11/864.42
  6. Step 6: Final answer
    x = 681.06

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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.