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Finding the Fourth Proportional to 1,627.59, 2,440.84 and 531.69

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Solution

The fourth proportional to 1,627.59, 2,440.84 and 531.69 is: 797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.59 : 2,440.84 = 531.69 : x
  2. Step 2: Convert to fraction form
    1,627.59/2,440.84 = 531.69/x
  3. Step 3: Cross multiply
    1,627.59x = 2,440.84 × 531.69
  4. Step 4: Simplify right side
    1,627.59x = 1,297,770.22
  5. Step 5: Solve for x
    x = 1,297,770.22/1,627.59
  6. Step 6: Final answer
    x = 797.36

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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.