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Finding the Fourth Proportional to 698.81, 1,048.07 and 205.16

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Solution

The fourth proportional to 698.81, 1,048.07 and 205.16 is: 307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.81 : 1,048.07 = 205.16 : x
  2. Step 2: Convert to fraction form
    698.81/1,048.07 = 205.16/x
  3. Step 3: Cross multiply
    698.81x = 1,048.07 × 205.16
  4. Step 4: Simplify right side
    698.81x = 215,015.78
  5. Step 5: Solve for x
    x = 215,015.78/698.81
  6. Step 6: Final answer
    x = 307.69

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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.