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Finding the Fourth Proportional to 697.75, 1,046.63 and 265.08

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Solution

The fourth proportional to 697.75, 1,046.63 and 265.08 is: 397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.75 : 1,046.63 = 265.08 : x
  2. Step 2: Convert to fraction form
    697.75/1,046.63 = 265.08/x
  3. Step 3: Cross multiply
    697.75x = 1,046.63 × 265.08
  4. Step 4: Simplify right side
    697.75x = 277,440.68
  5. Step 5: Solve for x
    x = 277,440.68/697.75
  6. Step 6: Final answer
    x = 397.62

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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.