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Finding the Fourth Proportional to 912.81, 1,367.16 and 546.84

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Solution

The fourth proportional to 912.81, 1,367.16 and 546.84 is: 819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.81 : 1,367.16 = 546.84 : x
  2. Step 2: Convert to fraction form
    912.81/1,367.16 = 546.84/x
  3. Step 3: Cross multiply
    912.81x = 1,367.16 × 546.84
  4. Step 4: Simplify right side
    912.81x = 747,617.77
  5. Step 5: Solve for x
    x = 747,617.77/912.81
  6. Step 6: Final answer
    x = 819.03

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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.