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Finding the Fourth Proportional to 680.58, 1,020.15 and 433.96

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Solution

The fourth proportional to 680.58, 1,020.15 and 433.96 is: 650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.58 : 1,020.15 = 433.96 : x
  2. Step 2: Convert to fraction form
    680.58/1,020.15 = 433.96/x
  3. Step 3: Cross multiply
    680.58x = 1,020.15 × 433.96
  4. Step 4: Simplify right side
    680.58x = 442,704.29
  5. Step 5: Solve for x
    x = 442,704.29/680.58
  6. Step 6: Final answer
    x = 650.48

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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.