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Finding the Fourth Proportional to 698.16, 1,047.26 and 204.62

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Solution

The fourth proportional to 698.16, 1,047.26 and 204.62 is: 306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.16 : 1,047.26 = 204.62 : x
  2. Step 2: Convert to fraction form
    698.16/1,047.26 = 204.62/x
  3. Step 3: Cross multiply
    698.16x = 1,047.26 × 204.62
  4. Step 4: Simplify right side
    698.16x = 214,290.34
  5. Step 5: Solve for x
    x = 214,290.34/698.16
  6. Step 6: Final answer
    x = 306.94

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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.