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Finding the Fourth Proportional to 941.44, 1,416.72 and 851.92

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Solution

The fourth proportional to 941.44, 1,416.72 and 851.92 is: 1,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.44 : 1,416.72 = 851.92 : x
  2. Step 2: Convert to fraction form
    941.44/1,416.72 = 851.92/x
  3. Step 3: Cross multiply
    941.44x = 1,416.72 × 851.92
  4. Step 4: Simplify right side
    941.44x = 1,206,932.10
  5. Step 5: Solve for x
    x = 1,206,932.10/941.44
  6. Step 6: Final answer
    x = 1,282.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.