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Finding the Fourth Proportional to 1,441.63, 2,162.07 and 517.05

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Solution

The fourth proportional to 1,441.63, 2,162.07 and 517.05 is: 775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.63 : 2,162.07 = 517.05 : x
  2. Step 2: Convert to fraction form
    1,441.63/2,162.07 = 517.05/x
  3. Step 3: Cross multiply
    1,441.63x = 2,162.07 × 517.05
  4. Step 4: Simplify right side
    1,441.63x = 1,117,899.35
  5. Step 5: Solve for x
    x = 1,117,899.35/1,441.63
  6. Step 6: Final answer
    x = 775.44

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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.