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Finding the Fourth Proportional to 912.89, 1,369.94 and 852.14

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Solution

The fourth proportional to 912.89, 1,369.94 and 852.14 is: 1,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.89 : 1,369.94 = 852.14 : x
  2. Step 2: Convert to fraction form
    912.89/1,369.94 = 852.14/x
  3. Step 3: Cross multiply
    912.89x = 1,369.94 × 852.14
  4. Step 4: Simplify right side
    912.89x = 1,167,369.56
  5. Step 5: Solve for x
    x = 1,167,369.56/912.89
  6. Step 6: Final answer
    x = 1,278.77

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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.