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Finding the Fourth Proportional to 1,627.74, 2,441.02 and 531.90

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Solution

The fourth proportional to 1,627.74, 2,441.02 and 531.90 is: 797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.74 : 2,441.02 = 531.90 : x
  2. Step 2: Convert to fraction form
    1,627.74/2,441.02 = 531.90/x
  3. Step 3: Cross multiply
    1,627.74x = 2,441.02 × 531.90
  4. Step 4: Simplify right side
    1,627.74x = 1,298,378.54
  5. Step 5: Solve for x
    x = 1,298,378.54/1,627.74
  6. Step 6: Final answer
    x = 797.66

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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.