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Finding the Fourth Proportional to 742.20, 1,024.40 and 427.44

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Solution

The fourth proportional to 742.20, 1,024.40 and 427.44 is: 589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.20 : 1,024.40 = 427.44 : x
  2. Step 2: Convert to fraction form
    742.20/1,024.40 = 427.44/x
  3. Step 3: Cross multiply
    742.20x = 1,024.40 × 427.44
  4. Step 4: Simplify right side
    742.20x = 437,869.54
  5. Step 5: Solve for x
    x = 437,869.54/742.20
  6. Step 6: Final answer
    x = 589.96

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1.5x scale

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.