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Finding the Fourth Proportional to 804.97, 1,207.52 and 219.97

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Solution

The fourth proportional to 804.97, 1,207.52 and 219.97 is: 329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.97 : 1,207.52 = 219.97 : x
  2. Step 2: Convert to fraction form
    804.97/1,207.52 = 219.97/x
  3. Step 3: Cross multiply
    804.97x = 1,207.52 × 219.97
  4. Step 4: Simplify right side
    804.97x = 265,615.71
  5. Step 5: Solve for x
    x = 265,615.71/804.97
  6. Step 6: Final answer
    x = 329.97

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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.