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Finding the Fourth Proportional to 682.11, 1,022.31 and 291.65

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Solution

The fourth proportional to 682.11, 1,022.31 and 291.65 is: 437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.11 : 1,022.31 = 291.65 : x
  2. Step 2: Convert to fraction form
    682.11/1,022.31 = 291.65/x
  3. Step 3: Cross multiply
    682.11x = 1,022.31 × 291.65
  4. Step 4: Simplify right side
    682.11x = 298,159.27
  5. Step 5: Solve for x
    x = 298,159.27/682.11
  6. Step 6: Final answer
    x = 437.11

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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.