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Finding the Fourth Proportional to 682.05, 1,023.03 and 292.05

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Solution

The fourth proportional to 682.05, 1,023.03 and 292.05 is: 438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.05 : 1,023.03 = 292.05 : x
  2. Step 2: Convert to fraction form
    682.05/1,023.03 = 292.05/x
  3. Step 3: Cross multiply
    682.05x = 1,023.03 × 292.05
  4. Step 4: Simplify right side
    682.05x = 298,775.91
  5. Step 5: Solve for x
    x = 298,775.91/682.05
  6. Step 6: Final answer
    x = 438.06

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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.