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Finding the Fourth Proportional to 1,286.88, 1,930.32 and 312.97

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Solution

The fourth proportional to 1,286.88, 1,930.32 and 312.97 is: 469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.88 : 1,930.32 = 312.97 : x
  2. Step 2: Convert to fraction form
    1,286.88/1,930.32 = 312.97/x
  3. Step 3: Cross multiply
    1,286.88x = 1,930.32 × 312.97
  4. Step 4: Simplify right side
    1,286.88x = 604,130.69
  5. Step 5: Solve for x
    x = 604,130.69/1,286.88
  6. Step 6: Final answer
    x = 469.46

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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.