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Finding the Fourth Proportional to 742.56, 1,024.70 and 411

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Solution

The fourth proportional to 742.56, 1,024.70 and 411 is: 567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.56 : 1,024.70 = 411 : x
  2. Step 2: Convert to fraction form
    742.56/1,024.70 = 411/x
  3. Step 3: Cross multiply
    742.56x = 1,024.70 × 411
  4. Step 4: Simplify right side
    742.56x = 421,151.70
  5. Step 5: Solve for x
    x = 421,151.70/742.56
  6. Step 6: Final answer
    x = 567.16

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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.