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Finding the Fourth Proportional to 806.80, 1,210.20 and 461.20

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Solution

The fourth proportional to 806.80, 1,210.20 and 461.20 is: 691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.80 : 1,210.20 = 461.20 : x
  2. Step 2: Convert to fraction form
    806.80/1,210.20 = 461.20/x
  3. Step 3: Cross multiply
    806.80x = 1,210.20 × 461.20
  4. Step 4: Simplify right side
    806.80x = 558,144.24
  5. Step 5: Solve for x
    x = 558,144.24/806.80
  6. Step 6: Final answer
    x = 691.80

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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.