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Finding the Fourth Proportional to 589, 885.54 and 550.96

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Solution

The fourth proportional to 589, 885.54 and 550.96 is: 828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 885.54 = 550.96 : x
  2. Step 2: Convert to fraction form
    589/885.54 = 550.96/x
  3. Step 3: Cross multiply
    589x = 885.54 × 550.96
  4. Step 4: Simplify right side
    589x = 487,897.12
  5. Step 5: Solve for x
    x = 487,897.12/589
  6. Step 6: Final answer
    x = 828.35

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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.