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Finding the Fourth Proportional to 791.46, 1,193.13 and 738.63

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Solution

The fourth proportional to 791.46, 1,193.13 and 738.63 is: 1,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.46 : 1,193.13 = 738.63 : x
  2. Step 2: Convert to fraction form
    791.46/1,193.13 = 738.63/x
  3. Step 3: Cross multiply
    791.46x = 1,193.13 × 738.63
  4. Step 4: Simplify right side
    791.46x = 881,281.61
  5. Step 5: Solve for x
    x = 881,281.61/791.46
  6. Step 6: Final answer
    x = 1,113.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.