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Finding the Fourth Proportional to 932.40, 1,391.76 and 824.32

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Solution

The fourth proportional to 932.40, 1,391.76 and 824.32 is: 1,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.40 : 1,391.76 = 824.32 : x
  2. Step 2: Convert to fraction form
    932.40/1,391.76 = 824.32/x
  3. Step 3: Cross multiply
    932.40x = 1,391.76 × 824.32
  4. Step 4: Simplify right side
    932.40x = 1,147,255.60
  5. Step 5: Solve for x
    x = 1,147,255.60/932.40
  6. Step 6: Final answer
    x = 1,230.43

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