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Finding the Fourth Proportional to 962.52, 1,324.98 and 864.24

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Solution

The fourth proportional to 962.52, 1,324.98 and 864.24 is: 1,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.52 : 1,324.98 = 864.24 : x
  2. Step 2: Convert to fraction form
    962.52/1,324.98 = 864.24/x
  3. Step 3: Cross multiply
    962.52x = 1,324.98 × 864.24
  4. Step 4: Simplify right side
    962.52x = 1,145,100.72
  5. Step 5: Solve for x
    x = 1,145,100.72/962.52
  6. Step 6: Final answer
    x = 1,189.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.