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Finding the Fourth Proportional to 1,024.67, 1,536.66 and 408.18

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Solution

The fourth proportional to 1,024.67, 1,536.66 and 408.18 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.67 : 1,536.66 = 408.18 : x
  2. Step 2: Convert to fraction form
    1,024.67/1,536.66 = 408.18/x
  3. Step 3: Cross multiply
    1,024.67x = 1,536.66 × 408.18
  4. Step 4: Simplify right side
    1,024.67x = 627,233.88
  5. Step 5: Solve for x
    x = 627,233.88/1,024.67
  6. Step 6: Final answer
    x = 612.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.