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Finding the Fourth Proportional to 754.26, 1,040.75 and 422.70

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Solution

The fourth proportional to 754.26, 1,040.75 and 422.70 is: 583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.26 : 1,040.75 = 422.70 : x
  2. Step 2: Convert to fraction form
    754.26/1,040.75 = 422.70/x
  3. Step 3: Cross multiply
    754.26x = 1,040.75 × 422.70
  4. Step 4: Simplify right side
    754.26x = 439,917.71
  5. Step 5: Solve for x
    x = 439,917.71/754.26
  6. Step 6: Final answer
    x = 583.25

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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.