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Finding the Fourth Proportional to 1,304.27, 1,956.35 and 482.18

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Solution

The fourth proportional to 1,304.27, 1,956.35 and 482.18 is: 723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.27 : 1,956.35 = 482.18 : x
  2. Step 2: Convert to fraction form
    1,304.27/1,956.35 = 482.18/x
  3. Step 3: Cross multiply
    1,304.27x = 1,956.35 × 482.18
  4. Step 4: Simplify right side
    1,304.27x = 943,300.65
  5. Step 5: Solve for x
    x = 943,300.65/1,304.27
  6. Step 6: Final answer
    x = 723.24

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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.