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Finding the Fourth Proportional to 1,441.76, 1,989.62 and 852.78

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Solution

The fourth proportional to 1,441.76, 1,989.62 and 852.78 is: 1,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.76 : 1,989.62 = 852.78 : x
  2. Step 2: Convert to fraction form
    1,441.76/1,989.62 = 852.78/x
  3. Step 3: Cross multiply
    1,441.76x = 1,989.62 × 852.78
  4. Step 4: Simplify right side
    1,441.76x = 1,696,708.14
  5. Step 5: Solve for x
    x = 1,696,708.14/1,441.76
  6. Step 6: Final answer
    x = 1,176.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.