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Finding the Fourth Proportional to 682.95, 1,024.48 and 244.29

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Solution

The fourth proportional to 682.95, 1,024.48 and 244.29 is: 366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.95 : 1,024.48 = 244.29 : x
  2. Step 2: Convert to fraction form
    682.95/1,024.48 = 244.29/x
  3. Step 3: Cross multiply
    682.95x = 1,024.48 × 244.29
  4. Step 4: Simplify right side
    682.95x = 250,274.37
  5. Step 5: Solve for x
    x = 250,274.37/682.95
  6. Step 6: Final answer
    x = 366.46

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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.