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Finding the Fourth Proportional to 697.76, 1,046.02 and 265.22

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Solution

The fourth proportional to 697.76, 1,046.02 and 265.22 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.76 : 1,046.02 = 265.22 : x
  2. Step 2: Convert to fraction form
    697.76/1,046.02 = 265.22/x
  3. Step 3: Cross multiply
    697.76x = 1,046.02 × 265.22
  4. Step 4: Simplify right side
    697.76x = 277,425.42
  5. Step 5: Solve for x
    x = 277,425.42/697.76
  6. Step 6: Final answer
    x = 397.59

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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.