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Finding the Fourth Proportional to 754.85, 1,041.74 and 423.30

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Solution

The fourth proportional to 754.85, 1,041.74 and 423.30 is: 584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.85 : 1,041.74 = 423.30 : x
  2. Step 2: Convert to fraction form
    754.85/1,041.74 = 423.30/x
  3. Step 3: Cross multiply
    754.85x = 1,041.74 × 423.30
  4. Step 4: Simplify right side
    754.85x = 440,968.54
  5. Step 5: Solve for x
    x = 440,968.54/754.85
  6. Step 6: Final answer
    x = 584.18

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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.