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Finding the Fourth Proportional to 1,766.50, 2,649.24 and 533.62

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Solution

The fourth proportional to 1,766.50, 2,649.24 and 533.62 is: 800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.50 : 2,649.24 = 533.62 : x
  2. Step 2: Convert to fraction form
    1,766.50/2,649.24 = 533.62/x
  3. Step 3: Cross multiply
    1,766.50x = 2,649.24 × 533.62
  4. Step 4: Simplify right side
    1,766.50x = 1,413,687.45
  5. Step 5: Solve for x
    x = 1,413,687.45/1,766.50
  6. Step 6: Final answer
    x = 800.28

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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.