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Finding the Fourth Proportional to 912, 1,367.16 and 831.84

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Solution

The fourth proportional to 912, 1,367.16 and 831.84 is: 1,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    912 : 1,367.16 = 831.84 : x
  2. Step 2: Convert to fraction form
    912/1,367.16 = 831.84/x
  3. Step 3: Cross multiply
    912x = 1,367.16 × 831.84
  4. Step 4: Simplify right side
    912x = 1,137,258.37
  5. Step 5: Solve for x
    x = 1,137,258.37/912
  6. Step 6: Final answer
    x = 1,246.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.