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Finding the Fourth Proportional to 1,302.68, 1,956.74 and 1,107.65

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Solution

The fourth proportional to 1,302.68, 1,956.74 and 1,107.65 is: 1,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.68 : 1,956.74 = 1,107.65 : x
  2. Step 2: Convert to fraction form
    1,302.68/1,956.74 = 1,107.65/x
  3. Step 3: Cross multiply
    1,302.68x = 1,956.74 × 1,107.65
  4. Step 4: Simplify right side
    1,302.68x = 2,167,367.74
  5. Step 5: Solve for x
    x = 2,167,367.74/1,302.68
  6. Step 6: Final answer
    x = 1,663.78

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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.