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Finding the Fourth Proportional to 844.36, 1,264.99 and 583.62

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Solution

The fourth proportional to 844.36, 1,264.99 and 583.62 is: 874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.36 : 1,264.99 = 583.62 : x
  2. Step 2: Convert to fraction form
    844.36/1,264.99 = 583.62/x
  3. Step 3: Cross multiply
    844.36x = 1,264.99 × 583.62
  4. Step 4: Simplify right side
    844.36x = 738,277.11
  5. Step 5: Solve for x
    x = 738,277.11/844.36
  6. Step 6: Final answer
    x = 874.37

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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.