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Finding the Fourth Proportional to 846.57, 1,268.97 and 805.52

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Solution

The fourth proportional to 846.57, 1,268.97 and 805.52 is: 1,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.57 : 1,268.97 = 805.52 : x
  2. Step 2: Convert to fraction form
    846.57/1,268.97 = 805.52/x
  3. Step 3: Cross multiply
    846.57x = 1,268.97 × 805.52
  4. Step 4: Simplify right side
    846.57x = 1,022,174.37
  5. Step 5: Solve for x
    x = 1,022,174.37/846.57
  6. Step 6: Final answer
    x = 1,207.43

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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.