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Finding the Fourth Proportional to 912.37, 1,367.61 and 730.12

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Solution

The fourth proportional to 912.37, 1,367.61 and 730.12 is: 1,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.37 : 1,367.61 = 730.12 : x
  2. Step 2: Convert to fraction form
    912.37/1,367.61 = 730.12/x
  3. Step 3: Cross multiply
    912.37x = 1,367.61 × 730.12
  4. Step 4: Simplify right side
    912.37x = 998,519.41
  5. Step 5: Solve for x
    x = 998,519.41/912.37
  6. Step 6: Final answer
    x = 1,094.42

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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.