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Finding the Fourth Proportional to 962.40, 1,442.96 and 823.68

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Solution

The fourth proportional to 962.40, 1,442.96 and 823.68 is: 1,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.40 : 1,442.96 = 823.68 : x
  2. Step 2: Convert to fraction form
    962.40/1,442.96 = 823.68/x
  3. Step 3: Cross multiply
    962.40x = 1,442.96 × 823.68
  4. Step 4: Simplify right side
    962.40x = 1,188,537.29
  5. Step 5: Solve for x
    x = 1,188,537.29/962.40
  6. Step 6: Final answer
    x = 1,234.97

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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.