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Finding the Fourth Proportional to 680.71, 1,021.06 and 290.83

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Solution

The fourth proportional to 680.71, 1,021.06 and 290.83 is: 436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.71 : 1,021.06 = 290.83 : x
  2. Step 2: Convert to fraction form
    680.71/1,021.06 = 290.83/x
  3. Step 3: Cross multiply
    680.71x = 1,021.06 × 290.83
  4. Step 4: Simplify right side
    680.71x = 296,949.05
  5. Step 5: Solve for x
    x = 296,949.05/680.71
  6. Step 6: Final answer
    x = 436.24

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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.