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Finding the Fourth Proportional to 1,304.54, 1,955.44 and 482.29

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Solution

The fourth proportional to 1,304.54, 1,955.44 and 482.29 is: 722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.54 : 1,955.44 = 482.29 : x
  2. Step 2: Convert to fraction form
    1,304.54/1,955.44 = 482.29/x
  3. Step 3: Cross multiply
    1,304.54x = 1,955.44 × 482.29
  4. Step 4: Simplify right side
    1,304.54x = 943,084.87
  5. Step 5: Solve for x
    x = 943,084.87/1,304.54
  6. Step 6: Final answer
    x = 722.93

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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.