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Finding the Fourth Proportional to 1,627.04, 2,440.66 and 531.20

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Solution

The fourth proportional to 1,627.04, 2,440.66 and 531.20 is: 796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.04 : 2,440.66 = 531.20 : x
  2. Step 2: Convert to fraction form
    1,627.04/2,440.66 = 531.20/x
  3. Step 3: Cross multiply
    1,627.04x = 2,440.66 × 531.20
  4. Step 4: Simplify right side
    1,627.04x = 1,296,478.59
  5. Step 5: Solve for x
    x = 1,296,478.59/1,627.04
  6. Step 6: Final answer
    x = 796.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.