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Finding the Fourth Proportional to 1,219.67, 1,682.33 and 800.49

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Solution

The fourth proportional to 1,219.67, 1,682.33 and 800.49 is: 1,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.67 : 1,682.33 = 800.49 : x
  2. Step 2: Convert to fraction form
    1,219.67/1,682.33 = 800.49/x
  3. Step 3: Cross multiply
    1,219.67x = 1,682.33 × 800.49
  4. Step 4: Simplify right side
    1,219.67x = 1,346,684.34
  5. Step 5: Solve for x
    x = 1,346,684.34/1,219.67
  6. Step 6: Final answer
    x = 1,104.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.