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Finding the Fourth Proportional to 848.54, 1,273.20 and 775.64

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Solution

The fourth proportional to 848.54, 1,273.20 and 775.64 is: 1,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.54 : 1,273.20 = 775.64 : x
  2. Step 2: Convert to fraction form
    848.54/1,273.20 = 775.64/x
  3. Step 3: Cross multiply
    848.54x = 1,273.20 × 775.64
  4. Step 4: Simplify right side
    848.54x = 987,544.85
  5. Step 5: Solve for x
    x = 987,544.85/848.54
  6. Step 6: Final answer
    x = 1,163.82

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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.