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Finding the Fourth Proportional to 1,364.62, 2,046.78 and 487.09

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Solution

The fourth proportional to 1,364.62, 2,046.78 and 487.09 is: 730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.62 : 2,046.78 = 487.09 : x
  2. Step 2: Convert to fraction form
    1,364.62/2,046.78 = 487.09/x
  3. Step 3: Cross multiply
    1,364.62x = 2,046.78 × 487.09
  4. Step 4: Simplify right side
    1,364.62x = 996,966.07
  5. Step 5: Solve for x
    x = 996,966.07/1,364.62
  6. Step 6: Final answer
    x = 730.58

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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.