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Finding the Fourth Proportional to 1,677.96, 2,517.12 and 523.80

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Solution

The fourth proportional to 1,677.96, 2,517.12 and 523.80 is: 785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.96 : 2,517.12 = 523.80 : x
  2. Step 2: Convert to fraction form
    1,677.96/2,517.12 = 523.80/x
  3. Step 3: Cross multiply
    1,677.96x = 2,517.12 × 523.80
  4. Step 4: Simplify right side
    1,677.96x = 1,318,467.46
  5. Step 5: Solve for x
    x = 1,318,467.46/1,677.96
  6. Step 6: Final answer
    x = 785.76

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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.