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Finding the Fourth Proportional to 754.75, 1,041.53 and 423.17

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Solution

The fourth proportional to 754.75, 1,041.53 and 423.17 is: 583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.75 : 1,041.53 = 423.17 : x
  2. Step 2: Convert to fraction form
    754.75/1,041.53 = 423.17/x
  3. Step 3: Cross multiply
    754.75x = 1,041.53 × 423.17
  4. Step 4: Simplify right side
    754.75x = 440,744.25
  5. Step 5: Solve for x
    x = 440,744.25/754.75
  6. Step 6: Final answer
    x = 583.96

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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.