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Finding the Fourth Proportional to 754.49, 1,041.29 and 422.94

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Solution

The fourth proportional to 754.49, 1,041.29 and 422.94 is: 583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.49 : 1,041.29 = 422.94 : x
  2. Step 2: Convert to fraction form
    754.49/1,041.29 = 422.94/x
  3. Step 3: Cross multiply
    754.49x = 1,041.29 × 422.94
  4. Step 4: Simplify right side
    754.49x = 440,403.19
  5. Step 5: Solve for x
    x = 440,403.19/754.49
  6. Step 6: Final answer
    x = 583.71

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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.