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Finding the Fourth Proportional to 859.54, 1,286.80 and 777.46

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Solution

The fourth proportional to 859.54, 1,286.80 and 777.46 is: 1,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.54 : 1,286.80 = 777.46 : x
  2. Step 2: Convert to fraction form
    859.54/1,286.80 = 777.46/x
  3. Step 3: Cross multiply
    859.54x = 1,286.80 × 777.46
  4. Step 4: Simplify right side
    859.54x = 1,000,431.64
  5. Step 5: Solve for x
    x = 1,000,431.64/859.54
  6. Step 6: Final answer
    x = 1,163.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.