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Finding the Fourth Proportional to 1,766.06, 2,649.30 and 467.54

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Solution

The fourth proportional to 1,766.06, 2,649.30 and 467.54 is: 701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.06 : 2,649.30 = 467.54 : x
  2. Step 2: Convert to fraction form
    1,766.06/2,649.30 = 467.54/x
  3. Step 3: Cross multiply
    1,766.06x = 2,649.30 × 467.54
  4. Step 4: Simplify right side
    1,766.06x = 1,238,653.72
  5. Step 5: Solve for x
    x = 1,238,653.72/1,766.06
  6. Step 6: Final answer
    x = 701.37

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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.