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Finding the Fourth Proportional to 912.87, 1,369.76 and 426.27

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Solution

The fourth proportional to 912.87, 1,369.76 and 426.27 is: 639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.87 : 1,369.76 = 426.27 : x
  2. Step 2: Convert to fraction form
    912.87/1,369.76 = 426.27/x
  3. Step 3: Cross multiply
    912.87x = 1,369.76 × 426.27
  4. Step 4: Simplify right side
    912.87x = 583,887.60
  5. Step 5: Solve for x
    x = 583,887.60/912.87
  6. Step 6: Final answer
    x = 639.62

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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.