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Finding the Fourth Proportional to 912.42, 1,360.85 and 892.98

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Solution

The fourth proportional to 912.42, 1,360.85 and 892.98 is: 1,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.42 : 1,360.85 = 892.98 : x
  2. Step 2: Convert to fraction form
    912.42/1,360.85 = 892.98/x
  3. Step 3: Cross multiply
    912.42x = 1,360.85 × 892.98
  4. Step 4: Simplify right side
    912.42x = 1,215,207.37
  5. Step 5: Solve for x
    x = 1,215,207.37/912.42
  6. Step 6: Final answer
    x = 1,331.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.