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Finding the Fourth Proportional to 742.48, 1,024.62 and 410.89

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Solution

The fourth proportional to 742.48, 1,024.62 and 410.89 is: 567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.48 : 1,024.62 = 410.89 : x
  2. Step 2: Convert to fraction form
    742.48/1,024.62 = 410.89/x
  3. Step 3: Cross multiply
    742.48x = 1,024.62 × 410.89
  4. Step 4: Simplify right side
    742.48x = 421,007.40
  5. Step 5: Solve for x
    x = 421,007.40/742.48
  6. Step 6: Final answer
    x = 567.03

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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.