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Finding the Fourth Proportional to 744.83, 1,027.99 and 548.91

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Solution

The fourth proportional to 744.83, 1,027.99 and 548.91 is: 757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.83 : 1,027.99 = 548.91 : x
  2. Step 2: Convert to fraction form
    744.83/1,027.99 = 548.91/x
  3. Step 3: Cross multiply
    744.83x = 1,027.99 × 548.91
  4. Step 4: Simplify right side
    744.83x = 564,274.68
  5. Step 5: Solve for x
    x = 564,274.68/744.83
  6. Step 6: Final answer
    x = 757.59

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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.