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Finding the Fourth Proportional to 1,677.82, 2,517.21 and 523.58

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Solution

The fourth proportional to 1,677.82, 2,517.21 and 523.58 is: 785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.82 : 2,517.21 = 523.58 : x
  2. Step 2: Convert to fraction form
    1,677.82/2,517.21 = 523.58/x
  3. Step 3: Cross multiply
    1,677.82x = 2,517.21 × 523.58
  4. Step 4: Simplify right side
    1,677.82x = 1,317,960.81
  5. Step 5: Solve for x
    x = 1,317,960.81/1,677.82
  6. Step 6: Final answer
    x = 785.52

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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.