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Finding the Fourth Proportional to 1,210.82, 1,817.37 and 778.22

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Solution

The fourth proportional to 1,210.82, 1,817.37 and 778.22 is: 1,168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.82 : 1,817.37 = 778.22 : x
  2. Step 2: Convert to fraction form
    1,210.82/1,817.37 = 778.22/x
  3. Step 3: Cross multiply
    1,210.82x = 1,817.37 × 778.22
  4. Step 4: Simplify right side
    1,210.82x = 1,414,313.68
  5. Step 5: Solve for x
    x = 1,414,313.68/1,210.82
  6. Step 6: Final answer
    x = 1,168.06

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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.