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Finding the Fourth Proportional to 1,644.42, 2,466.34 and 548.66

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Solution

The fourth proportional to 1,644.42, 2,466.34 and 548.66 is: 822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.42 : 2,466.34 = 548.66 : x
  2. Step 2: Convert to fraction form
    1,644.42/2,466.34 = 548.66/x
  3. Step 3: Cross multiply
    1,644.42x = 2,466.34 × 548.66
  4. Step 4: Simplify right side
    1,644.42x = 1,353,182.10
  5. Step 5: Solve for x
    x = 1,353,182.10/1,644.42
  6. Step 6: Final answer
    x = 822.89

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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.