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Finding the Fourth Proportional to 697.61, 1,046.24 and 204.02

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Solution

The fourth proportional to 697.61, 1,046.24 and 204.02 is: 305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.61 : 1,046.24 = 204.02 : x
  2. Step 2: Convert to fraction form
    697.61/1,046.24 = 204.02/x
  3. Step 3: Cross multiply
    697.61x = 1,046.24 × 204.02
  4. Step 4: Simplify right side
    697.61x = 213,447.63
  5. Step 5: Solve for x
    x = 213,447.63/697.61
  6. Step 6: Final answer
    x = 305.97

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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.