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Finding the Fourth Proportional to 850.64, 1,277.24 and 809.46

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Solution

The fourth proportional to 850.64, 1,277.24 and 809.46 is: 1,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.64 : 1,277.24 = 809.46 : x
  2. Step 2: Convert to fraction form
    850.64/1,277.24 = 809.46/x
  3. Step 3: Cross multiply
    850.64x = 1,277.24 × 809.46
  4. Step 4: Simplify right side
    850.64x = 1,033,870.64
  5. Step 5: Solve for x
    x = 1,033,870.64/850.64
  6. Step 6: Final answer
    x = 1,215.41

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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.