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Finding the Fourth Proportional to 682.75, 1,024.71 and 374.82

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Solution

The fourth proportional to 682.75, 1,024.71 and 374.82 is: 562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.75 : 1,024.71 = 374.82 : x
  2. Step 2: Convert to fraction form
    682.75/1,024.71 = 374.82/x
  3. Step 3: Cross multiply
    682.75x = 1,024.71 × 374.82
  4. Step 4: Simplify right side
    682.75x = 384,083.78
  5. Step 5: Solve for x
    x = 384,083.78/682.75
  6. Step 6: Final answer
    x = 562.55

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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.