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Finding the Fourth Proportional to 1,304.59, 1,956.36 and 471.43

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Solution

The fourth proportional to 1,304.59, 1,956.36 and 471.43 is: 706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.59 : 1,956.36 = 471.43 : x
  2. Step 2: Convert to fraction form
    1,304.59/1,956.36 = 471.43/x
  3. Step 3: Cross multiply
    1,304.59x = 1,956.36 × 471.43
  4. Step 4: Simplify right side
    1,304.59x = 922,286.79
  5. Step 5: Solve for x
    x = 922,286.79/1,304.59
  6. Step 6: Final answer
    x = 706.96

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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.