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Finding the Fourth Proportional to 1,243.18, 1,714.99 and 800.94

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Solution

The fourth proportional to 1,243.18, 1,714.99 and 800.94 is: 1,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.18 : 1,714.99 = 800.94 : x
  2. Step 2: Convert to fraction form
    1,243.18/1,714.99 = 800.94/x
  3. Step 3: Cross multiply
    1,243.18x = 1,714.99 × 800.94
  4. Step 4: Simplify right side
    1,243.18x = 1,373,604.09
  5. Step 5: Solve for x
    x = 1,373,604.09/1,243.18
  6. Step 6: Final answer
    x = 1,104.91

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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.