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Finding the Fourth Proportional to 1,274.67, 1,759.86 and 994.41

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Solution

The fourth proportional to 1,274.67, 1,759.86 and 994.41 is: 1,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.67 : 1,759.86 = 994.41 : x
  2. Step 2: Convert to fraction form
    1,274.67/1,759.86 = 994.41/x
  3. Step 3: Cross multiply
    1,274.67x = 1,759.86 × 994.41
  4. Step 4: Simplify right side
    1,274.67x = 1,750,022.38
  5. Step 5: Solve for x
    x = 1,750,022.38/1,274.67
  6. Step 6: Final answer
    x = 1,372.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.