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Finding the Fourth Proportional to 742.47, 1,024.73 and 427.78

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Solution

The fourth proportional to 742.47, 1,024.73 and 427.78 is: 590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.47 : 1,024.73 = 427.78 : x
  2. Step 2: Convert to fraction form
    742.47/1,024.73 = 427.78/x
  3. Step 3: Cross multiply
    742.47x = 1,024.73 × 427.78
  4. Step 4: Simplify right side
    742.47x = 438,361.79
  5. Step 5: Solve for x
    x = 438,361.79/742.47
  6. Step 6: Final answer
    x = 590.41

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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.