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Finding the Fourth Proportional to 939.56, 1,297.20 and 814.28

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Solution

The fourth proportional to 939.56, 1,297.20 and 814.28 is: 1,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.56 : 1,297.20 = 814.28 : x
  2. Step 2: Convert to fraction form
    939.56/1,297.20 = 814.28/x
  3. Step 3: Cross multiply
    939.56x = 1,297.20 × 814.28
  4. Step 4: Simplify right side
    939.56x = 1,056,284.02
  5. Step 5: Solve for x
    x = 1,056,284.02/939.56
  6. Step 6: Final answer
    x = 1,124.23

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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.