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Finding the Fourth Proportional to 1,320.58, 1,981.16 and 396.22

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Solution

The fourth proportional to 1,320.58, 1,981.16 and 396.22 is: 594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.58 : 1,981.16 = 396.22 : x
  2. Step 2: Convert to fraction form
    1,320.58/1,981.16 = 396.22/x
  3. Step 3: Cross multiply
    1,320.58x = 1,981.16 × 396.22
  4. Step 4: Simplify right side
    1,320.58x = 784,975.22
  5. Step 5: Solve for x
    x = 784,975.22/1,320.58
  6. Step 6: Final answer
    x = 594.42

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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.