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Finding the Fourth Proportional to 1,207.94, 1,664.62 and 814.28

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Solution

The fourth proportional to 1,207.94, 1,664.62 and 814.28 is: 1,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.94 : 1,664.62 = 814.28 : x
  2. Step 2: Convert to fraction form
    1,207.94/1,664.62 = 814.28/x
  3. Step 3: Cross multiply
    1,207.94x = 1,664.62 × 814.28
  4. Step 4: Simplify right side
    1,207.94x = 1,355,456.41
  5. Step 5: Solve for x
    x = 1,355,456.41/1,207.94
  6. Step 6: Final answer
    x = 1,122.13

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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.