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Finding the Fourth Proportional to 682.13, 1,023.47 and 297.65

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Solution

The fourth proportional to 682.13, 1,023.47 and 297.65 is: 446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.13 : 1,023.47 = 297.65 : x
  2. Step 2: Convert to fraction form
    682.13/1,023.47 = 297.65/x
  3. Step 3: Cross multiply
    682.13x = 1,023.47 × 297.65
  4. Step 4: Simplify right side
    682.13x = 304,629.24
  5. Step 5: Solve for x
    x = 304,629.24/682.13
  6. Step 6: Final answer
    x = 446.59

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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.