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Finding the Fourth Proportional to 1,766.34, 2,649.42 and 533.75

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Solution

The fourth proportional to 1,766.34, 2,649.42 and 533.75 is: 800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.34 : 2,649.42 = 533.75 : x
  2. Step 2: Convert to fraction form
    1,766.34/2,649.42 = 533.75/x
  3. Step 3: Cross multiply
    1,766.34x = 2,649.42 × 533.75
  4. Step 4: Simplify right side
    1,766.34x = 1,414,114.68
  5. Step 5: Solve for x
    x = 1,414,114.68/1,766.34
  6. Step 6: Final answer
    x = 800.59

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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.