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Finding the Fourth Proportional to 744.70, 1,027.56 and 429.94

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Solution

The fourth proportional to 744.70, 1,027.56 and 429.94 is: 593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.70 : 1,027.56 = 429.94 : x
  2. Step 2: Convert to fraction form
    744.70/1,027.56 = 429.94/x
  3. Step 3: Cross multiply
    744.70x = 1,027.56 × 429.94
  4. Step 4: Simplify right side
    744.70x = 441,789.15
  5. Step 5: Solve for x
    x = 441,789.15/744.70
  6. Step 6: Final answer
    x = 593.24

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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.