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Finding the Fourth Proportional to 912.04, 1,366.92 and 495.57

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Solution

The fourth proportional to 912.04, 1,366.92 and 495.57 is: 742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.04 : 1,366.92 = 495.57 : x
  2. Step 2: Convert to fraction form
    912.04/1,366.92 = 495.57/x
  3. Step 3: Cross multiply
    912.04x = 1,366.92 × 495.57
  4. Step 4: Simplify right side
    912.04x = 677,400.59
  5. Step 5: Solve for x
    x = 677,400.59/912.04
  6. Step 6: Final answer
    x = 742.73

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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.