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Finding the Fourth Proportional to 844.36, 1,266.77 and 259.38

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Solution

The fourth proportional to 844.36, 1,266.77 and 259.38 is: 389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.36 : 1,266.77 = 259.38 : x
  2. Step 2: Convert to fraction form
    844.36/1,266.77 = 259.38/x
  3. Step 3: Cross multiply
    844.36x = 1,266.77 × 259.38
  4. Step 4: Simplify right side
    844.36x = 328,575.45
  5. Step 5: Solve for x
    x = 328,575.45/844.36
  6. Step 6: Final answer
    x = 389.14

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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.