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Finding the Fourth Proportional to 927.76, 1,280.64 and 796.24

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Solution

The fourth proportional to 927.76, 1,280.64 and 796.24 is: 1,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.76 : 1,280.64 = 796.24 : x
  2. Step 2: Convert to fraction form
    927.76/1,280.64 = 796.24/x
  3. Step 3: Cross multiply
    927.76x = 1,280.64 × 796.24
  4. Step 4: Simplify right side
    927.76x = 1,019,696.79
  5. Step 5: Solve for x
    x = 1,019,696.79/927.76
  6. Step 6: Final answer
    x = 1,099.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.