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Finding the Fourth Proportional to 1,677.94, 2,517.32 and 523.69

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Solution

The fourth proportional to 1,677.94, 2,517.32 and 523.69 is: 785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.94 : 2,517.32 = 523.69 : x
  2. Step 2: Convert to fraction form
    1,677.94/2,517.32 = 523.69/x
  3. Step 3: Cross multiply
    1,677.94x = 2,517.32 × 523.69
  4. Step 4: Simplify right side
    1,677.94x = 1,318,290.33
  5. Step 5: Solve for x
    x = 1,318,290.33/1,677.94
  6. Step 6: Final answer
    x = 785.66

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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.