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Finding the Fourth Proportional to 1,272.94, 1,909.46 and 605.68

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Solution

The fourth proportional to 1,272.94, 1,909.46 and 605.68 is: 908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.94 : 1,909.46 = 605.68 : x
  2. Step 2: Convert to fraction form
    1,272.94/1,909.46 = 605.68/x
  3. Step 3: Cross multiply
    1,272.94x = 1,909.46 × 605.68
  4. Step 4: Simplify right side
    1,272.94x = 1,156,521.73
  5. Step 5: Solve for x
    x = 1,156,521.73/1,272.94
  6. Step 6: Final answer
    x = 908.54

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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.