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Finding the Fourth Proportional to 863.10, 1,288.02 and 770.83

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Solution

The fourth proportional to 863.10, 1,288.02 and 770.83 is: 1,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.10 : 1,288.02 = 770.83 : x
  2. Step 2: Convert to fraction form
    863.10/1,288.02 = 770.83/x
  3. Step 3: Cross multiply
    863.10x = 1,288.02 × 770.83
  4. Step 4: Simplify right side
    863.10x = 992,844.46
  5. Step 5: Solve for x
    x = 992,844.46/863.10
  6. Step 6: Final answer
    x = 1,150.32

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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.