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Finding the Fourth Proportional to 1,736.24, 2,604.56 and 696.60

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Solution

The fourth proportional to 1,736.24, 2,604.56 and 696.60 is: 1,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.24 : 2,604.56 = 696.60 : x
  2. Step 2: Convert to fraction form
    1,736.24/2,604.56 = 696.60/x
  3. Step 3: Cross multiply
    1,736.24x = 2,604.56 × 696.60
  4. Step 4: Simplify right side
    1,736.24x = 1,814,333.01
  5. Step 5: Solve for x
    x = 1,814,333.01/1,736.24
  6. Step 6: Final answer
    x = 1,044.98

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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.