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Finding the Fourth Proportional to 1,304.31, 1,956.72 and 482.58

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Solution

The fourth proportional to 1,304.31, 1,956.72 and 482.58 is: 723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.31 : 1,956.72 = 482.58 : x
  2. Step 2: Convert to fraction form
    1,304.31/1,956.72 = 482.58/x
  3. Step 3: Cross multiply
    1,304.31x = 1,956.72 × 482.58
  4. Step 4: Simplify right side
    1,304.31x = 944,273.94
  5. Step 5: Solve for x
    x = 944,273.94/1,304.31
  6. Step 6: Final answer
    x = 723.96

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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.