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Finding the Fourth Proportional to 793.76, 1,197.74 and 763.76

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Solution

The fourth proportional to 793.76, 1,197.74 and 763.76 is: 1,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.76 : 1,197.74 = 763.76 : x
  2. Step 2: Convert to fraction form
    793.76/1,197.74 = 763.76/x
  3. Step 3: Cross multiply
    793.76x = 1,197.74 × 763.76
  4. Step 4: Simplify right side
    793.76x = 914,785.90
  5. Step 5: Solve for x
    x = 914,785.90/793.76
  6. Step 6: Final answer
    x = 1,152.47

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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.