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Finding the Fourth Proportional to 1,304.94, 1,956.10 and 818.34

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Solution

The fourth proportional to 1,304.94, 1,956.10 and 818.34 is: 1,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.94 : 1,956.10 = 818.34 : x
  2. Step 2: Convert to fraction form
    1,304.94/1,956.10 = 818.34/x
  3. Step 3: Cross multiply
    1,304.94x = 1,956.10 × 818.34
  4. Step 4: Simplify right side
    1,304.94x = 1,600,754.87
  5. Step 5: Solve for x
    x = 1,600,754.87/1,304.94
  6. Step 6: Final answer
    x = 1,226.69

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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.