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Finding the Fourth Proportional to 1,736.28, 2,604.81 and 582

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Solution

The fourth proportional to 1,736.28, 2,604.81 and 582 is: 873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.28 : 2,604.81 = 582 : x
  2. Step 2: Convert to fraction form
    1,736.28/2,604.81 = 582/x
  3. Step 3: Cross multiply
    1,736.28x = 2,604.81 × 582
  4. Step 4: Simplify right side
    1,736.28x = 1,515,999.42
  5. Step 5: Solve for x
    x = 1,515,999.42/1,736.28
  6. Step 6: Final answer
    x = 873.13

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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.