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Finding the Fourth Proportional to 682.78, 1,023.93 and 297.82

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Solution

The fourth proportional to 682.78, 1,023.93 and 297.82 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.78 : 1,023.93 = 297.82 : x
  2. Step 2: Convert to fraction form
    682.78/1,023.93 = 297.82/x
  3. Step 3: Cross multiply
    682.78x = 1,023.93 × 297.82
  4. Step 4: Simplify right side
    682.78x = 304,946.83
  5. Step 5: Solve for x
    x = 304,946.83/682.78
  6. Step 6: Final answer
    x = 446.63

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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.