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Finding the Fourth Proportional to 754.14, 1,040.78 and 422.58

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Solution

The fourth proportional to 754.14, 1,040.78 and 422.58 is: 583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.14 : 1,040.78 = 422.58 : x
  2. Step 2: Convert to fraction form
    754.14/1,040.78 = 422.58/x
  3. Step 3: Cross multiply
    754.14x = 1,040.78 × 422.58
  4. Step 4: Simplify right side
    754.14x = 439,810.70
  5. Step 5: Solve for x
    x = 439,810.70/754.14
  6. Step 6: Final answer
    x = 583.20

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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.