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Finding the Fourth Proportional to 844.82, 1,268.14 and 709.35

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Solution

The fourth proportional to 844.82, 1,268.14 and 709.35 is: 1,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.82 : 1,268.14 = 709.35 : x
  2. Step 2: Convert to fraction form
    844.82/1,268.14 = 709.35/x
  3. Step 3: Cross multiply
    844.82x = 1,268.14 × 709.35
  4. Step 4: Simplify right side
    844.82x = 899,555.11
  5. Step 5: Solve for x
    x = 899,555.11/844.82
  6. Step 6: Final answer
    x = 1,064.79

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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.