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Finding the Fourth Proportional to 656.78, 985.26 and 194.59

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Solution

The fourth proportional to 656.78, 985.26 and 194.59 is: 291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.78 : 985.26 = 194.59 : x
  2. Step 2: Convert to fraction form
    656.78/985.26 = 194.59/x
  3. Step 3: Cross multiply
    656.78x = 985.26 × 194.59
  4. Step 4: Simplify right side
    656.78x = 191,721.74
  5. Step 5: Solve for x
    x = 191,721.74/656.78
  6. Step 6: Final answer
    x = 291.91

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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.