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Finding the Fourth Proportional to 1,766.28, 2,649.57 and 467.75

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Solution

The fourth proportional to 1,766.28, 2,649.57 and 467.75 is: 701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.28 : 2,649.57 = 467.75 : x
  2. Step 2: Convert to fraction form
    1,766.28/2,649.57 = 467.75/x
  3. Step 3: Cross multiply
    1,766.28x = 2,649.57 × 467.75
  4. Step 4: Simplify right side
    1,766.28x = 1,239,336.37
  5. Step 5: Solve for x
    x = 1,239,336.37/1,766.28
  6. Step 6: Final answer
    x = 701.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.