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Finding the Fourth Proportional to 680.82, 1,020.48 and 290.72

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Solution

The fourth proportional to 680.82, 1,020.48 and 290.72 is: 435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.82 : 1,020.48 = 290.72 : x
  2. Step 2: Convert to fraction form
    680.82/1,020.48 = 290.72/x
  3. Step 3: Cross multiply
    680.82x = 1,020.48 × 290.72
  4. Step 4: Simplify right side
    680.82x = 296,673.95
  5. Step 5: Solve for x
    x = 296,673.95/680.82
  6. Step 6: Final answer
    x = 435.76

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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.