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Finding the Fourth Proportional to 1,644.68, 2,466.77 and 670.55

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Solution

The fourth proportional to 1,644.68, 2,466.77 and 670.55 is: 1,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.68 : 2,466.77 = 670.55 : x
  2. Step 2: Convert to fraction form
    1,644.68/2,466.77 = 670.55/x
  3. Step 3: Cross multiply
    1,644.68x = 2,466.77 × 670.55
  4. Step 4: Simplify right side
    1,644.68x = 1,654,092.62
  5. Step 5: Solve for x
    x = 1,654,092.62/1,644.68
  6. Step 6: Final answer
    x = 1,005.72

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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.