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Finding the Fourth Proportional to 754.09, 1,040.62 and 422.50

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Solution

The fourth proportional to 754.09, 1,040.62 and 422.50 is: 583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.09 : 1,040.62 = 422.50 : x
  2. Step 2: Convert to fraction form
    754.09/1,040.62 = 422.50/x
  3. Step 3: Cross multiply
    754.09x = 1,040.62 × 422.50
  4. Step 4: Simplify right side
    754.09x = 439,661.95
  5. Step 5: Solve for x
    x = 439,661.95/754.09
  6. Step 6: Final answer
    x = 583.04

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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.