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Finding the Fourth Proportional to 1,286.72, 1,929.54 and 495.62

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Solution

The fourth proportional to 1,286.72, 1,929.54 and 495.62 is: 743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.72 : 1,929.54 = 495.62 : x
  2. Step 2: Convert to fraction form
    1,286.72/1,929.54 = 495.62/x
  3. Step 3: Cross multiply
    1,286.72x = 1,929.54 × 495.62
  4. Step 4: Simplify right side
    1,286.72x = 956,318.61
  5. Step 5: Solve for x
    x = 956,318.61/1,286.72
  6. Step 6: Final answer
    x = 743.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.