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Finding the Fourth Proportional to 1,766.78, 2,649.30 and 533.96

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Solution

The fourth proportional to 1,766.78, 2,649.30 and 533.96 is: 800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.78 : 2,649.30 = 533.96 : x
  2. Step 2: Convert to fraction form
    1,766.78/2,649.30 = 533.96/x
  3. Step 3: Cross multiply
    1,766.78x = 2,649.30 × 533.96
  4. Step 4: Simplify right side
    1,766.78x = 1,414,620.23
  5. Step 5: Solve for x
    x = 1,414,620.23/1,766.78
  6. Step 6: Final answer
    x = 800.68

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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.