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Finding the Fourth Proportional to 948.42, 1,422 and 809.64

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Solution

The fourth proportional to 948.42, 1,422 and 809.64 is: 1,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.42 : 1,422 = 809.64 : x
  2. Step 2: Convert to fraction form
    948.42/1,422 = 809.64/x
  3. Step 3: Cross multiply
    948.42x = 1,422 × 809.64
  4. Step 4: Simplify right side
    948.42x = 1,151,308.08
  5. Step 5: Solve for x
    x = 1,151,308.08/948.42
  6. Step 6: Final answer
    x = 1,213.92

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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.