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Finding the Fourth Proportional to 1,644.19, 2,465.76 and 548.29

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Solution

The fourth proportional to 1,644.19, 2,465.76 and 548.29 is: 822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.19 : 2,465.76 = 548.29 : x
  2. Step 2: Convert to fraction form
    1,644.19/2,465.76 = 548.29/x
  3. Step 3: Cross multiply
    1,644.19x = 2,465.76 × 548.29
  4. Step 4: Simplify right side
    1,644.19x = 1,351,951.55
  5. Step 5: Solve for x
    x = 1,351,951.55/1,644.19
  6. Step 6: Final answer
    x = 822.26

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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.