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Finding the Fourth Proportional to 881.29, 1,320.45 and 394.66

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Solution

The fourth proportional to 881.29, 1,320.45 and 394.66 is: 591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.29 : 1,320.45 = 394.66 : x
  2. Step 2: Convert to fraction form
    881.29/1,320.45 = 394.66/x
  3. Step 3: Cross multiply
    881.29x = 1,320.45 × 394.66
  4. Step 4: Simplify right side
    881.29x = 521,128.80
  5. Step 5: Solve for x
    x = 521,128.80/881.29
  6. Step 6: Final answer
    x = 591.32

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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.