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Finding the Fourth Proportional to 1,634.79, 2,451.92 and 539.17

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Solution

The fourth proportional to 1,634.79, 2,451.92 and 539.17 is: 808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.79 : 2,451.92 = 539.17 : x
  2. Step 2: Convert to fraction form
    1,634.79/2,451.92 = 539.17/x
  3. Step 3: Cross multiply
    1,634.79x = 2,451.92 × 539.17
  4. Step 4: Simplify right side
    1,634.79x = 1,321,999.01
  5. Step 5: Solve for x
    x = 1,321,999.01/1,634.79
  6. Step 6: Final answer
    x = 808.67

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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.