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Finding the Fourth Proportional to 936.82, 1,293.11 and 582.53

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Solution

The fourth proportional to 936.82, 1,293.11 and 582.53 is: 804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.82 : 1,293.11 = 582.53 : x
  2. Step 2: Convert to fraction form
    936.82/1,293.11 = 582.53/x
  3. Step 3: Cross multiply
    936.82x = 1,293.11 × 582.53
  4. Step 4: Simplify right side
    936.82x = 753,280.22
  5. Step 5: Solve for x
    x = 753,280.22/936.82
  6. Step 6: Final answer
    x = 804.08

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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.