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Finding the Fourth Proportional to 905.28, 1,256.64 and 847.68

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Solution

The fourth proportional to 905.28, 1,256.64 and 847.68 is: 1,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.28 : 1,256.64 = 847.68 : x
  2. Step 2: Convert to fraction form
    905.28/1,256.64 = 847.68/x
  3. Step 3: Cross multiply
    905.28x = 1,256.64 × 847.68
  4. Step 4: Simplify right side
    905.28x = 1,065,228.60
  5. Step 5: Solve for x
    x = 1,065,228.60/905.28
  6. Step 6: Final answer
    x = 1,176.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.