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Finding the Fourth Proportional to 1,390.89, 1,919.14 and 831.15

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Solution

The fourth proportional to 1,390.89, 1,919.14 and 831.15 is: 1,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.89 : 1,919.14 = 831.15 : x
  2. Step 2: Convert to fraction form
    1,390.89/1,919.14 = 831.15/x
  3. Step 3: Cross multiply
    1,390.89x = 1,919.14 × 831.15
  4. Step 4: Simplify right side
    1,390.89x = 1,595,093.21
  5. Step 5: Solve for x
    x = 1,595,093.21/1,390.89
  6. Step 6: Final answer
    x = 1,146.81

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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.