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Finding the Fourth Proportional to 1,286.05, 1,929.08 and 464.32

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Solution

The fourth proportional to 1,286.05, 1,929.08 and 464.32 is: 696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.05 : 1,929.08 = 464.32 : x
  2. Step 2: Convert to fraction form
    1,286.05/1,929.08 = 464.32/x
  3. Step 3: Cross multiply
    1,286.05x = 1,929.08 × 464.32
  4. Step 4: Simplify right side
    1,286.05x = 895,711.39
  5. Step 5: Solve for x
    x = 895,711.39/1,286.05
  6. Step 6: Final answer
    x = 696.48

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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.