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Finding the Fourth Proportional to 1,601.63, 2,402.78 and 677.20

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Solution

The fourth proportional to 1,601.63, 2,402.78 and 677.20 is: 1,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.63 : 2,402.78 = 677.20 : x
  2. Step 2: Convert to fraction form
    1,601.63/2,402.78 = 677.20/x
  3. Step 3: Cross multiply
    1,601.63x = 2,402.78 × 677.20
  4. Step 4: Simplify right side
    1,601.63x = 1,627,162.62
  5. Step 5: Solve for x
    x = 1,627,162.62/1,601.63
  6. Step 6: Final answer
    x = 1,015.94

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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.