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Finding the Fourth Proportional to 1,770.38, 2,655.66 and 674.83

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Solution

The fourth proportional to 1,770.38, 2,655.66 and 674.83 is: 1,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.38 : 2,655.66 = 674.83 : x
  2. Step 2: Convert to fraction form
    1,770.38/2,655.66 = 674.83/x
  3. Step 3: Cross multiply
    1,770.38x = 2,655.66 × 674.83
  4. Step 4: Simplify right side
    1,770.38x = 1,792,115.66
  5. Step 5: Solve for x
    x = 1,792,115.66/1,770.38
  6. Step 6: Final answer
    x = 1,012.28

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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.