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Finding the Fourth Proportional to 697.78, 1,046.64 and 184.78

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Solution

The fourth proportional to 697.78, 1,046.64 and 184.78 is: 277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.78 : 1,046.64 = 184.78 : x
  2. Step 2: Convert to fraction form
    697.78/1,046.64 = 184.78/x
  3. Step 3: Cross multiply
    697.78x = 1,046.64 × 184.78
  4. Step 4: Simplify right side
    697.78x = 193,398.14
  5. Step 5: Solve for x
    x = 193,398.14/697.78
  6. Step 6: Final answer
    x = 277.16

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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.