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Finding the Fourth Proportional to 1,286.56, 1,930.32 and 669.88

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Solution

The fourth proportional to 1,286.56, 1,930.32 and 669.88 is: 1,005.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.56 : 1,930.32 = 669.88 : x
  2. Step 2: Convert to fraction form
    1,286.56/1,930.32 = 669.88/x
  3. Step 3: Cross multiply
    1,286.56x = 1,930.32 × 669.88
  4. Step 4: Simplify right side
    1,286.56x = 1,293,082.76
  5. Step 5: Solve for x
    x = 1,293,082.76/1,286.56
  6. Step 6: Final answer
    x = 1,005.07

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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.