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Finding the Fourth Proportional to 742.44, 1,024.53 and 410.90

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Solution

The fourth proportional to 742.44, 1,024.53 and 410.90 is: 567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.44 : 1,024.53 = 410.90 : x
  2. Step 2: Convert to fraction form
    742.44/1,024.53 = 410.90/x
  3. Step 3: Cross multiply
    742.44x = 1,024.53 × 410.90
  4. Step 4: Simplify right side
    742.44x = 420,974.25
  5. Step 5: Solve for x
    x = 420,974.25/742.44
  6. Step 6: Final answer
    x = 567.01

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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.