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Finding the Fourth Proportional to 806.96, 1,210.34 and 259.20

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Solution

The fourth proportional to 806.96, 1,210.34 and 259.20 is: 388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.96 : 1,210.34 = 259.20 : x
  2. Step 2: Convert to fraction form
    806.96/1,210.34 = 259.20/x
  3. Step 3: Cross multiply
    806.96x = 1,210.34 × 259.20
  4. Step 4: Simplify right side
    806.96x = 313,720.78
  5. Step 5: Solve for x
    x = 313,720.78/806.96
  6. Step 6: Final answer
    x = 388.77

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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.