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Finding the Fourth Proportional to 1,627.69, 2,440.98 and 531.78

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Solution

The fourth proportional to 1,627.69, 2,440.98 and 531.78 is: 797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.69 : 2,440.98 = 531.78 : x
  2. Step 2: Convert to fraction form
    1,627.69/2,440.98 = 531.78/x
  3. Step 3: Cross multiply
    1,627.69x = 2,440.98 × 531.78
  4. Step 4: Simplify right side
    1,627.69x = 1,298,067.79
  5. Step 5: Solve for x
    x = 1,298,067.79/1,627.69
  6. Step 6: Final answer
    x = 797.49

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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.