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Finding the Fourth Proportional to 847.77, 1,271.85 and 775.27

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Solution

The fourth proportional to 847.77, 1,271.85 and 775.27 is: 1,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.77 : 1,271.85 = 775.27 : x
  2. Step 2: Convert to fraction form
    847.77/1,271.85 = 775.27/x
  3. Step 3: Cross multiply
    847.77x = 1,271.85 × 775.27
  4. Step 4: Simplify right side
    847.77x = 986,027.15
  5. Step 5: Solve for x
    x = 986,027.15/847.77
  6. Step 6: Final answer
    x = 1,163.08

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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.