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Finding the Fourth Proportional to 806.57, 1,210.24 and 251.37

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Solution

The fourth proportional to 806.57, 1,210.24 and 251.37 is: 377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.57 : 1,210.24 = 251.37 : x
  2. Step 2: Convert to fraction form
    806.57/1,210.24 = 251.37/x
  3. Step 3: Cross multiply
    806.57x = 1,210.24 × 251.37
  4. Step 4: Simplify right side
    806.57x = 304,218.03
  5. Step 5: Solve for x
    x = 304,218.03/806.57
  6. Step 6: Final answer
    x = 377.17

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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.