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Finding the Fourth Proportional to 754.81, 1,041.68 and 423.22

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Solution

The fourth proportional to 754.81, 1,041.68 and 423.22 is: 584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.81 : 1,041.68 = 423.22 : x
  2. Step 2: Convert to fraction form
    754.81/1,041.68 = 423.22/x
  3. Step 3: Cross multiply
    754.81x = 1,041.68 × 423.22
  4. Step 4: Simplify right side
    754.81x = 440,859.81
  5. Step 5: Solve for x
    x = 440,859.81/754.81
  6. Step 6: Final answer
    x = 584.07

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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.