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Finding the Fourth Proportional to 1,391.02, 1,919.30 and 831.40

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Solution

The fourth proportional to 1,391.02, 1,919.30 and 831.40 is: 1,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.02 : 1,919.30 = 831.40 : x
  2. Step 2: Convert to fraction form
    1,391.02/1,919.30 = 831.40/x
  3. Step 3: Cross multiply
    1,391.02x = 1,919.30 × 831.40
  4. Step 4: Simplify right side
    1,391.02x = 1,595,697.06
  5. Step 5: Solve for x
    x = 1,595,697.06/1,391.02
  6. Step 6: Final answer
    x = 1,147.14

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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.