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Finding the Fourth Proportional to 659.78, 911.14 and 623.42

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Solution

The fourth proportional to 659.78, 911.14 and 623.42 is: 860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.78 : 911.14 = 623.42 : x
  2. Step 2: Convert to fraction form
    659.78/911.14 = 623.42/x
  3. Step 3: Cross multiply
    659.78x = 911.14 × 623.42
  4. Step 4: Simplify right side
    659.78x = 568,022.90
  5. Step 5: Solve for x
    x = 568,022.90/659.78
  6. Step 6: Final answer
    x = 860.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.