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Finding the Fourth Proportional to 1,063.78, 1,596.18 and 550.78

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Solution

The fourth proportional to 1,063.78, 1,596.18 and 550.78 is: 826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.78 : 1,596.18 = 550.78 : x
  2. Step 2: Convert to fraction form
    1,063.78/1,596.18 = 550.78/x
  3. Step 3: Cross multiply
    1,063.78x = 1,596.18 × 550.78
  4. Step 4: Simplify right side
    1,063.78x = 879,144.02
  5. Step 5: Solve for x
    x = 879,144.02/1,063.78
  6. Step 6: Final answer
    x = 826.43

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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.