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Finding the Fourth Proportional to 1,391.47, 1,919.31 and 831.50

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Solution

The fourth proportional to 1,391.47, 1,919.31 and 831.50 is: 1,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.47 : 1,919.31 = 831.50 : x
  2. Step 2: Convert to fraction form
    1,391.47/1,919.31 = 831.50/x
  3. Step 3: Cross multiply
    1,391.47x = 1,919.31 × 831.50
  4. Step 4: Simplify right side
    1,391.47x = 1,595,906.27
  5. Step 5: Solve for x
    x = 1,595,906.27/1,391.47
  6. Step 6: Final answer
    x = 1,146.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.