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Finding the Fourth Proportional to 1,363.22, 1,881.20 and 803.69

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Solution

The fourth proportional to 1,363.22, 1,881.20 and 803.69 is: 1,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.22 : 1,881.20 = 803.69 : x
  2. Step 2: Convert to fraction form
    1,363.22/1,881.20 = 803.69/x
  3. Step 3: Cross multiply
    1,363.22x = 1,881.20 × 803.69
  4. Step 4: Simplify right side
    1,363.22x = 1,511,888.20
  5. Step 5: Solve for x
    x = 1,511,888.20/1,363.22
  6. Step 6: Final answer
    x = 1,109.06

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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.