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Finding the Fourth Proportional to 698.21, 1,047.62 and 265.27

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Solution

The fourth proportional to 698.21, 1,047.62 and 265.27 is: 398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.21 : 1,047.62 = 265.27 : x
  2. Step 2: Convert to fraction form
    698.21/1,047.62 = 265.27/x
  3. Step 3: Cross multiply
    698.21x = 1,047.62 × 265.27
  4. Step 4: Simplify right side
    698.21x = 277,900.20
  5. Step 5: Solve for x
    x = 277,900.20/698.21
  6. Step 6: Final answer
    x = 398.02

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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.