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Finding the Fourth Proportional to 742.65, 1,024.77 and 411.06

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Solution

The fourth proportional to 742.65, 1,024.77 and 411.06 is: 567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.65 : 1,024.77 = 411.06 : x
  2. Step 2: Convert to fraction form
    742.65/1,024.77 = 411.06/x
  3. Step 3: Cross multiply
    742.65x = 1,024.77 × 411.06
  4. Step 4: Simplify right side
    742.65x = 421,241.96
  5. Step 5: Solve for x
    x = 421,241.96/742.65
  6. Step 6: Final answer
    x = 567.21

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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.