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Finding the Fourth Proportional to 806.88, 1,210.34 and 259.11

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Solution

The fourth proportional to 806.88, 1,210.34 and 259.11 is: 388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.88 : 1,210.34 = 259.11 : x
  2. Step 2: Convert to fraction form
    806.88/1,210.34 = 259.11/x
  3. Step 3: Cross multiply
    806.88x = 1,210.34 × 259.11
  4. Step 4: Simplify right side
    806.88x = 313,611.20
  5. Step 5: Solve for x
    x = 313,611.20/806.88
  6. Step 6: Final answer
    x = 388.67

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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.