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Finding the Fourth Proportional to 682.94, 1,024.68 and 250.40

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Solution

The fourth proportional to 682.94, 1,024.68 and 250.40 is: 375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.94 : 1,024.68 = 250.40 : x
  2. Step 2: Convert to fraction form
    682.94/1,024.68 = 250.40/x
  3. Step 3: Cross multiply
    682.94x = 1,024.68 × 250.40
  4. Step 4: Simplify right side
    682.94x = 256,579.87
  5. Step 5: Solve for x
    x = 256,579.87/682.94
  6. Step 6: Final answer
    x = 375.70

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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.