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Finding the Fourth Proportional to 806.02, 1,209.17 and 286.07

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Solution

The fourth proportional to 806.02, 1,209.17 and 286.07 is: 429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.02 : 1,209.17 = 286.07 : x
  2. Step 2: Convert to fraction form
    806.02/1,209.17 = 286.07/x
  3. Step 3: Cross multiply
    806.02x = 1,209.17 × 286.07
  4. Step 4: Simplify right side
    806.02x = 345,901.93
  5. Step 5: Solve for x
    x = 345,901.93/806.02
  6. Step 6: Final answer
    x = 429.15

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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.