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Finding the Fourth Proportional to 1,320.93, 1,981.57 and 443.14

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Solution

The fourth proportional to 1,320.93, 1,981.57 and 443.14 is: 664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.93 : 1,981.57 = 443.14 : x
  2. Step 2: Convert to fraction form
    1,320.93/1,981.57 = 443.14/x
  3. Step 3: Cross multiply
    1,320.93x = 1,981.57 × 443.14
  4. Step 4: Simplify right side
    1,320.93x = 878,109.06
  5. Step 5: Solve for x
    x = 878,109.06/1,320.93
  6. Step 6: Final answer
    x = 664.77

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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.