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Finding the Fourth Proportional to 1,304.09, 1,954.77 and 610.17

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Solution

The fourth proportional to 1,304.09, 1,954.77 and 610.17 is: 914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.09 : 1,954.77 = 610.17 : x
  2. Step 2: Convert to fraction form
    1,304.09/1,954.77 = 610.17/x
  3. Step 3: Cross multiply
    1,304.09x = 1,954.77 × 610.17
  4. Step 4: Simplify right side
    1,304.09x = 1,192,743.39
  5. Step 5: Solve for x
    x = 1,192,743.39/1,304.09
  6. Step 6: Final answer
    x = 914.62

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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.