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Finding the Fourth Proportional to 1,391.19, 1,919.46 and 831.41

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Solution

The fourth proportional to 1,391.19, 1,919.46 and 831.41 is: 1,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.19 : 1,919.46 = 831.41 : x
  2. Step 2: Convert to fraction form
    1,391.19/1,919.46 = 831.41/x
  3. Step 3: Cross multiply
    1,391.19x = 1,919.46 × 831.41
  4. Step 4: Simplify right side
    1,391.19x = 1,595,858.24
  5. Step 5: Solve for x
    x = 1,595,858.24/1,391.19
  6. Step 6: Final answer
    x = 1,147.12

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1.5x scale

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.