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Finding the Fourth Proportional to 744.42, 1,027.22 and 412.82

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Solution

The fourth proportional to 744.42, 1,027.22 and 412.82 is: 569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.42 : 1,027.22 = 412.82 : x
  2. Step 2: Convert to fraction form
    744.42/1,027.22 = 412.82/x
  3. Step 3: Cross multiply
    744.42x = 1,027.22 × 412.82
  4. Step 4: Simplify right side
    744.42x = 424,049.76
  5. Step 5: Solve for x
    x = 424,049.76/744.42
  6. Step 6: Final answer
    x = 569.64

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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.