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Finding the Fourth Proportional to 754.61, 1,041.27 and 422.97

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Solution

The fourth proportional to 754.61, 1,041.27 and 422.97 is: 583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.61 : 1,041.27 = 422.97 : x
  2. Step 2: Convert to fraction form
    754.61/1,041.27 = 422.97/x
  3. Step 3: Cross multiply
    754.61x = 1,041.27 × 422.97
  4. Step 4: Simplify right side
    754.61x = 440,420.77
  5. Step 5: Solve for x
    x = 440,420.77/754.61
  6. Step 6: Final answer
    x = 583.64

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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.