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Finding the Fourth Proportional to 847.61, 1,268.78 and 775.83

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Solution

The fourth proportional to 847.61, 1,268.78 and 775.83 is: 1,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.61 : 1,268.78 = 775.83 : x
  2. Step 2: Convert to fraction form
    847.61/1,268.78 = 775.83/x
  3. Step 3: Cross multiply
    847.61x = 1,268.78 × 775.83
  4. Step 4: Simplify right side
    847.61x = 984,353.71
  5. Step 5: Solve for x
    x = 984,353.71/847.61
  6. Step 6: Final answer
    x = 1,161.34

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