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Finding the Fourth Proportional to 847.32, 1,268.40 and 773.34

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Solution

The fourth proportional to 847.32, 1,268.40 and 773.34 is: 1,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.32 : 1,268.40 = 773.34 : x
  2. Step 2: Convert to fraction form
    847.32/1,268.40 = 773.34/x
  3. Step 3: Cross multiply
    847.32x = 1,268.40 × 773.34
  4. Step 4: Simplify right side
    847.32x = 980,904.46
  5. Step 5: Solve for x
    x = 980,904.46/847.32
  6. Step 6: Final answer
    x = 1,157.66

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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.