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Finding the Fourth Proportional to 1,638.76, 2,458.14 and 484.42

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Solution

The fourth proportional to 1,638.76, 2,458.14 and 484.42 is: 726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.76 : 2,458.14 = 484.42 : x
  2. Step 2: Convert to fraction form
    1,638.76/2,458.14 = 484.42/x
  3. Step 3: Cross multiply
    1,638.76x = 2,458.14 × 484.42
  4. Step 4: Simplify right side
    1,638.76x = 1,190,772.18
  5. Step 5: Solve for x
    x = 1,190,772.18/1,638.76
  6. Step 6: Final answer
    x = 726.63

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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.