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Finding the Fourth Proportional to 962.30, 1,441.73 and 823.99

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Solution

The fourth proportional to 962.30, 1,441.73 and 823.99 is: 1,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.30 : 1,441.73 = 823.99 : x
  2. Step 2: Convert to fraction form
    962.30/1,441.73 = 823.99/x
  3. Step 3: Cross multiply
    962.30x = 1,441.73 × 823.99
  4. Step 4: Simplify right side
    962.30x = 1,187,966.98
  5. Step 5: Solve for x
    x = 1,187,966.98/962.30
  6. Step 6: Final answer
    x = 1,234.51

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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.