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Finding the Fourth Proportional to 831.26, 1,147.38 and 582.65

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Solution

The fourth proportional to 831.26, 1,147.38 and 582.65 is: 804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.26 : 1,147.38 = 582.65 : x
  2. Step 2: Convert to fraction form
    831.26/1,147.38 = 582.65/x
  3. Step 3: Cross multiply
    831.26x = 1,147.38 × 582.65
  4. Step 4: Simplify right side
    831.26x = 668,517.34
  5. Step 5: Solve for x
    x = 668,517.34/831.26
  6. Step 6: Final answer
    x = 804.22

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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.