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Finding the Fourth Proportional to 1,304.82, 1,952.55 and 1,133.49

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Solution

The fourth proportional to 1,304.82, 1,952.55 and 1,133.49 is: 1,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.82 : 1,952.55 = 1,133.49 : x
  2. Step 2: Convert to fraction form
    1,304.82/1,952.55 = 1,133.49/x
  3. Step 3: Cross multiply
    1,304.82x = 1,952.55 × 1,133.49
  4. Step 4: Simplify right side
    1,304.82x = 2,213,195.90
  5. Step 5: Solve for x
    x = 2,213,195.90/1,304.82
  6. Step 6: Final answer
    x = 1,696.17

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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.