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Finding the Fourth Proportional to 742.49, 1,024.60 and 410.90

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Solution

The fourth proportional to 742.49, 1,024.60 and 410.90 is: 567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.49 : 1,024.60 = 410.90 : x
  2. Step 2: Convert to fraction form
    742.49/1,024.60 = 410.90/x
  3. Step 3: Cross multiply
    742.49x = 1,024.60 × 410.90
  4. Step 4: Simplify right side
    742.49x = 421,005.06
  5. Step 5: Solve for x
    x = 421,005.06/742.49
  6. Step 6: Final answer
    x = 567.02

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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.