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Finding the Fourth Proportional to 831.20, 1,147.77 and 536.96

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Solution

The fourth proportional to 831.20, 1,147.77 and 536.96 is: 741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.20 : 1,147.77 = 536.96 : x
  2. Step 2: Convert to fraction form
    831.20/1,147.77 = 536.96/x
  3. Step 3: Cross multiply
    831.20x = 1,147.77 × 536.96
  4. Step 4: Simplify right side
    831.20x = 616,309.45
  5. Step 5: Solve for x
    x = 616,309.45/831.20
  6. Step 6: Final answer
    x = 741.47

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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.