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Finding the Fourth Proportional to 594.69, 891.84 and 550.77

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Solution

The fourth proportional to 594.69, 891.84 and 550.77 is: 825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.69 : 891.84 = 550.77 : x
  2. Step 2: Convert to fraction form
    594.69/891.84 = 550.77/x
  3. Step 3: Cross multiply
    594.69x = 891.84 × 550.77
  4. Step 4: Simplify right side
    594.69x = 491,198.72
  5. Step 5: Solve for x
    x = 491,198.72/594.69
  6. Step 6: Final answer
    x = 825.97

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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.