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Finding the Fourth Proportional to 903.26, 1,246.37 and 504.83

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Solution

The fourth proportional to 903.26, 1,246.37 and 504.83 is: 696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.26 : 1,246.37 = 504.83 : x
  2. Step 2: Convert to fraction form
    903.26/1,246.37 = 504.83/x
  3. Step 3: Cross multiply
    903.26x = 1,246.37 × 504.83
  4. Step 4: Simplify right side
    903.26x = 629,196.21
  5. Step 5: Solve for x
    x = 629,196.21/903.26
  6. Step 6: Final answer
    x = 696.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.