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Finding the Fourth Proportional to 1,770.59, 2,656.05 and 674.97

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Solution

The fourth proportional to 1,770.59, 2,656.05 and 674.97 is: 1,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.59 : 2,656.05 = 674.97 : x
  2. Step 2: Convert to fraction form
    1,770.59/2,656.05 = 674.97/x
  3. Step 3: Cross multiply
    1,770.59x = 2,656.05 × 674.97
  4. Step 4: Simplify right side
    1,770.59x = 1,792,754.07
  5. Step 5: Solve for x
    x = 1,792,754.07/1,770.59
  6. Step 6: Final answer
    x = 1,012.52

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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.