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Finding the Fourth Proportional to 696.52, 1,043.87 and 388.52

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Solution

The fourth proportional to 696.52, 1,043.87 and 388.52 is: 582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.52 : 1,043.87 = 388.52 : x
  2. Step 2: Convert to fraction form
    696.52/1,043.87 = 388.52/x
  3. Step 3: Cross multiply
    696.52x = 1,043.87 × 388.52
  4. Step 4: Simplify right side
    696.52x = 405,561.12
  5. Step 5: Solve for x
    x = 405,561.12/696.52
  6. Step 6: Final answer
    x = 582.27

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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.