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Finding the Fourth Proportional to 754.48, 1,041.06 and 422.83

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Solution

The fourth proportional to 754.48, 1,041.06 and 422.83 is: 583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.48 : 1,041.06 = 422.83 : x
  2. Step 2: Convert to fraction form
    754.48/1,041.06 = 422.83/x
  3. Step 3: Cross multiply
    754.48x = 1,041.06 × 422.83
  4. Step 4: Simplify right side
    754.48x = 440,191.40
  5. Step 5: Solve for x
    x = 440,191.40/754.48
  6. Step 6: Final answer
    x = 583.44

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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.