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Finding the Fourth Proportional to 1,304.14, 1,956.10 and 482.26

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Solution

The fourth proportional to 1,304.14, 1,956.10 and 482.26 is: 723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.14 : 1,956.10 = 482.26 : x
  2. Step 2: Convert to fraction form
    1,304.14/1,956.10 = 482.26/x
  3. Step 3: Cross multiply
    1,304.14x = 1,956.10 × 482.26
  4. Step 4: Simplify right side
    1,304.14x = 943,348.79
  5. Step 5: Solve for x
    x = 943,348.79/1,304.14
  6. Step 6: Final answer
    x = 723.35

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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.