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Finding the Fourth Proportional to 844.73, 1,268.29 and 584.11

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Solution

The fourth proportional to 844.73, 1,268.29 and 584.11 is: 877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.73 : 1,268.29 = 584.11 : x
  2. Step 2: Convert to fraction form
    844.73/1,268.29 = 584.11/x
  3. Step 3: Cross multiply
    844.73x = 1,268.29 × 584.11
  4. Step 4: Simplify right side
    844.73x = 740,823.19
  5. Step 5: Solve for x
    x = 740,823.19/844.73
  6. Step 6: Final answer
    x = 877.00

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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.