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Finding the Fourth Proportional to 699.33, 1,048.80 and 205.59

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Solution

The fourth proportional to 699.33, 1,048.80 and 205.59 is: 308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.33 : 1,048.80 = 205.59 : x
  2. Step 2: Convert to fraction form
    699.33/1,048.80 = 205.59/x
  3. Step 3: Cross multiply
    699.33x = 1,048.80 × 205.59
  4. Step 4: Simplify right side
    699.33x = 215,622.79
  5. Step 5: Solve for x
    x = 215,622.79/699.33
  6. Step 6: Final answer
    x = 308.33

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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.