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Finding the Fourth Proportional to 936.16, 1,292.22 and 582.14

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Solution

The fourth proportional to 936.16, 1,292.22 and 582.14 is: 803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.16 : 1,292.22 = 582.14 : x
  2. Step 2: Convert to fraction form
    936.16/1,292.22 = 582.14/x
  3. Step 3: Cross multiply
    936.16x = 1,292.22 × 582.14
  4. Step 4: Simplify right side
    936.16x = 752,256.18
  5. Step 5: Solve for x
    x = 752,256.18/936.16
  6. Step 6: Final answer
    x = 803.56

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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.