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Finding the Fourth Proportional to 844.78, 1,265.63 and 584.04

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Solution

The fourth proportional to 844.78, 1,265.63 and 584.04 is: 875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.78 : 1,265.63 = 584.04 : x
  2. Step 2: Convert to fraction form
    844.78/1,265.63 = 584.04/x
  3. Step 3: Cross multiply
    844.78x = 1,265.63 × 584.04
  4. Step 4: Simplify right side
    844.78x = 739,180.37
  5. Step 5: Solve for x
    x = 739,180.37/844.78
  6. Step 6: Final answer
    x = 875.00

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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.