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Finding the Fourth Proportional to 1,320.45, 1,981.01 and 396.01

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Solution

The fourth proportional to 1,320.45, 1,981.01 and 396.01 is: 594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.45 : 1,981.01 = 396.01 : x
  2. Step 2: Convert to fraction form
    1,320.45/1,981.01 = 396.01/x
  3. Step 3: Cross multiply
    1,320.45x = 1,981.01 × 396.01
  4. Step 4: Simplify right side
    1,320.45x = 784,499.77
  5. Step 5: Solve for x
    x = 784,499.77/1,320.45
  6. Step 6: Final answer
    x = 594.12

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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.