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Finding the Fourth Proportional to 697.94, 1,047.41 and 265.09

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Solution

The fourth proportional to 697.94, 1,047.41 and 265.09 is: 397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.94 : 1,047.41 = 265.09 : x
  2. Step 2: Convert to fraction form
    697.94/1,047.41 = 265.09/x
  3. Step 3: Cross multiply
    697.94x = 1,047.41 × 265.09
  4. Step 4: Simplify right side
    697.94x = 277,657.92
  5. Step 5: Solve for x
    x = 277,657.92/697.94
  6. Step 6: Final answer
    x = 397.82

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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.