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Finding the Fourth Proportional to 785.44, 1,083.09 and 598.96

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Solution

The fourth proportional to 785.44, 1,083.09 and 598.96 is: 825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.44 : 1,083.09 = 598.96 : x
  2. Step 2: Convert to fraction form
    785.44/1,083.09 = 598.96/x
  3. Step 3: Cross multiply
    785.44x = 1,083.09 × 598.96
  4. Step 4: Simplify right side
    785.44x = 648,727.59
  5. Step 5: Solve for x
    x = 648,727.59/785.44
  6. Step 6: Final answer
    x = 825.94

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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.