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Finding the Fourth Proportional to 1,441.92, 1,990.22 and 852.64

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Solution

The fourth proportional to 1,441.92, 1,990.22 and 852.64 is: 1,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.92 : 1,990.22 = 852.64 : x
  2. Step 2: Convert to fraction form
    1,441.92/1,990.22 = 852.64/x
  3. Step 3: Cross multiply
    1,441.92x = 1,990.22 × 852.64
  4. Step 4: Simplify right side
    1,441.92x = 1,696,941.18
  5. Step 5: Solve for x
    x = 1,696,941.18/1,441.92
  6. Step 6: Final answer
    x = 1,176.86

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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.