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Finding the Fourth Proportional to 880.65, 1,321.11 and 394.11

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Solution

The fourth proportional to 880.65, 1,321.11 and 394.11 is: 591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.65 : 1,321.11 = 394.11 : x
  2. Step 2: Convert to fraction form
    880.65/1,321.11 = 394.11/x
  3. Step 3: Cross multiply
    880.65x = 1,321.11 × 394.11
  4. Step 4: Simplify right side
    880.65x = 520,662.66
  5. Step 5: Solve for x
    x = 520,662.66/880.65
  6. Step 6: Final answer
    x = 591.23

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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.