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Finding the Fourth Proportional to 1,441.58, 1,989.36 and 852.02

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Solution

The fourth proportional to 1,441.58, 1,989.36 and 852.02 is: 1,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.58 : 1,989.36 = 852.02 : x
  2. Step 2: Convert to fraction form
    1,441.58/1,989.36 = 852.02/x
  3. Step 3: Cross multiply
    1,441.58x = 1,989.36 × 852.02
  4. Step 4: Simplify right side
    1,441.58x = 1,694,974.51
  5. Step 5: Solve for x
    x = 1,694,974.51/1,441.58
  6. Step 6: Final answer
    x = 1,175.78

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Why These Related Problems?

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