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Finding the Fourth Proportional to 932.46, 1,391.12 and 823.11

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Solution

The fourth proportional to 932.46, 1,391.12 and 823.11 is: 1,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.46 : 1,391.12 = 823.11 : x
  2. Step 2: Convert to fraction form
    932.46/1,391.12 = 823.11/x
  3. Step 3: Cross multiply
    932.46x = 1,391.12 × 823.11
  4. Step 4: Simplify right side
    932.46x = 1,145,040.67
  5. Step 5: Solve for x
    x = 1,145,040.67/932.46
  6. Step 6: Final answer
    x = 1,227.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.