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Finding the Fourth Proportional to 1,286.97, 1,930.46 and 313.07

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Solution

The fourth proportional to 1,286.97, 1,930.46 and 313.07 is: 469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.97 : 1,930.46 = 313.07 : x
  2. Step 2: Convert to fraction form
    1,286.97/1,930.46 = 313.07/x
  3. Step 3: Cross multiply
    1,286.97x = 1,930.46 × 313.07
  4. Step 4: Simplify right side
    1,286.97x = 604,357.89
  5. Step 5: Solve for x
    x = 604,357.89/1,286.97
  6. Step 6: Final answer
    x = 469.60

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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.