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Finding the Fourth Proportional to 806.87, 1,210.47 and 259.43

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Solution

The fourth proportional to 806.87, 1,210.47 and 259.43 is: 389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.87 : 1,210.47 = 259.43 : x
  2. Step 2: Convert to fraction form
    806.87/1,210.47 = 259.43/x
  3. Step 3: Cross multiply
    806.87x = 1,210.47 × 259.43
  4. Step 4: Simplify right side
    806.87x = 314,035.26
  5. Step 5: Solve for x
    x = 314,035.26/806.87
  6. Step 6: Final answer
    x = 389.20

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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.