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Finding the Fourth Proportional to 742.70, 1,024.90 and 427.95

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Solution

The fourth proportional to 742.70, 1,024.90 and 427.95 is: 590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.70 : 1,024.90 = 427.95 : x
  2. Step 2: Convert to fraction form
    742.70/1,024.90 = 427.95/x
  3. Step 3: Cross multiply
    742.70x = 1,024.90 × 427.95
  4. Step 4: Simplify right side
    742.70x = 438,610.33
  5. Step 5: Solve for x
    x = 438,610.33/742.70
  6. Step 6: Final answer
    x = 590.56

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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.