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Finding the Fourth Proportional to 1,286.60, 1,930.04 and 465.12

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Solution

The fourth proportional to 1,286.60, 1,930.04 and 465.12 is: 697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.60 : 1,930.04 = 465.12 : x
  2. Step 2: Convert to fraction form
    1,286.60/1,930.04 = 465.12/x
  3. Step 3: Cross multiply
    1,286.60x = 1,930.04 × 465.12
  4. Step 4: Simplify right side
    1,286.60x = 897,700.20
  5. Step 5: Solve for x
    x = 897,700.20/1,286.60
  6. Step 6: Final answer
    x = 697.73

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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.