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Finding the Fourth Proportional to 1,336.97, 2,005.16 and 362.84

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Solution

The fourth proportional to 1,336.97, 2,005.16 and 362.84 is: 544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.97 : 2,005.16 = 362.84 : x
  2. Step 2: Convert to fraction form
    1,336.97/2,005.16 = 362.84/x
  3. Step 3: Cross multiply
    1,336.97x = 2,005.16 × 362.84
  4. Step 4: Simplify right side
    1,336.97x = 727,540.41
  5. Step 5: Solve for x
    x = 727,540.41/1,336.97
  6. Step 6: Final answer
    x = 544.17

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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.