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Finding the Fourth Proportional to 968.26, 1,454.01 and 864.31

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Solution

The fourth proportional to 968.26, 1,454.01 and 864.31 is: 1,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.26 : 1,454.01 = 864.31 : x
  2. Step 2: Convert to fraction form
    968.26/1,454.01 = 864.31/x
  3. Step 3: Cross multiply
    968.26x = 1,454.01 × 864.31
  4. Step 4: Simplify right side
    968.26x = 1,256,715.38
  5. Step 5: Solve for x
    x = 1,256,715.38/968.26
  6. Step 6: Final answer
    x = 1,297.91

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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.