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Finding the Fourth Proportional to 936.81, 1,292.58 and 617.76

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Solution

The fourth proportional to 936.81, 1,292.58 and 617.76 is: 852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.81 : 1,292.58 = 617.76 : x
  2. Step 2: Convert to fraction form
    936.81/1,292.58 = 617.76/x
  3. Step 3: Cross multiply
    936.81x = 1,292.58 × 617.76
  4. Step 4: Simplify right side
    936.81x = 798,504.22
  5. Step 5: Solve for x
    x = 798,504.22/936.81
  6. Step 6: Final answer
    x = 852.37

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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.