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Finding the Fourth Proportional to 754.44, 1,040.04 and 588.48

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Solution

The fourth proportional to 754.44, 1,040.04 and 588.48 is: 811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.44 : 1,040.04 = 588.48 : x
  2. Step 2: Convert to fraction form
    754.44/1,040.04 = 588.48/x
  3. Step 3: Cross multiply
    754.44x = 1,040.04 × 588.48
  4. Step 4: Simplify right side
    754.44x = 612,042.74
  5. Step 5: Solve for x
    x = 612,042.74/754.44
  6. Step 6: Final answer
    x = 811.25

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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.