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Finding the Fourth Proportional to 697.74, 1,046.56 and 204.13

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Solution

The fourth proportional to 697.74, 1,046.56 and 204.13 is: 306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.74 : 1,046.56 = 204.13 : x
  2. Step 2: Convert to fraction form
    697.74/1,046.56 = 204.13/x
  3. Step 3: Cross multiply
    697.74x = 1,046.56 × 204.13
  4. Step 4: Simplify right side
    697.74x = 213,629.01
  5. Step 5: Solve for x
    x = 213,629.01/697.74
  6. Step 6: Final answer
    x = 306.17

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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.