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Finding the Fourth Proportional to 1,391.15, 1,919.48 and 831.80

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Solution

The fourth proportional to 1,391.15, 1,919.48 and 831.80 is: 1,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.15 : 1,919.48 = 831.80 : x
  2. Step 2: Convert to fraction form
    1,391.15/1,919.48 = 831.80/x
  3. Step 3: Cross multiply
    1,391.15x = 1,919.48 × 831.80
  4. Step 4: Simplify right side
    1,391.15x = 1,596,609.71
  5. Step 5: Solve for x
    x = 1,596,609.71/1,391.15
  6. Step 6: Final answer
    x = 1,147.69

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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.