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Finding the Fourth Proportional to 796.92, 1,187.16 and 772.74

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Solution

The fourth proportional to 796.92, 1,187.16 and 772.74 is: 1,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.92 : 1,187.16 = 772.74 : x
  2. Step 2: Convert to fraction form
    796.92/1,187.16 = 772.74/x
  3. Step 3: Cross multiply
    796.92x = 1,187.16 × 772.74
  4. Step 4: Simplify right side
    796.92x = 917,366.02
  5. Step 5: Solve for x
    x = 917,366.02/796.92
  6. Step 6: Final answer
    x = 1,151.14

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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.