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Finding the Fourth Proportional to 682.48, 1,023.61 and 292.55

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Solution

The fourth proportional to 682.48, 1,023.61 and 292.55 is: 438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.48 : 1,023.61 = 292.55 : x
  2. Step 2: Convert to fraction form
    682.48/1,023.61 = 292.55/x
  3. Step 3: Cross multiply
    682.48x = 1,023.61 × 292.55
  4. Step 4: Simplify right side
    682.48x = 299,451.80
  5. Step 5: Solve for x
    x = 299,451.80/682.48
  6. Step 6: Final answer
    x = 438.77

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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.