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Finding the Fourth Proportional to 682.95, 1,024.73 and 292.91

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Solution

The fourth proportional to 682.95, 1,024.73 and 292.91 is: 439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.95 : 1,024.73 = 292.91 : x
  2. Step 2: Convert to fraction form
    682.95/1,024.73 = 292.91/x
  3. Step 3: Cross multiply
    682.95x = 1,024.73 × 292.91
  4. Step 4: Simplify right side
    682.95x = 300,147.08
  5. Step 5: Solve for x
    x = 300,147.08/682.95
  6. Step 6: Final answer
    x = 439.49

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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.