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Finding the Fourth Proportional to 757.24, 1,044.73 and 477.75

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Solution

The fourth proportional to 757.24, 1,044.73 and 477.75 is: 659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.24 : 1,044.73 = 477.75 : x
  2. Step 2: Convert to fraction form
    757.24/1,044.73 = 477.75/x
  3. Step 3: Cross multiply
    757.24x = 1,044.73 × 477.75
  4. Step 4: Simplify right side
    757.24x = 499,119.76
  5. Step 5: Solve for x
    x = 499,119.76/757.24
  6. Step 6: Final answer
    x = 659.13

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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.