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Finding the Fourth Proportional to 785.34, 1,083.56 and 490.46

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Solution

The fourth proportional to 785.34, 1,083.56 and 490.46 is: 676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.34 : 1,083.56 = 490.46 : x
  2. Step 2: Convert to fraction form
    785.34/1,083.56 = 490.46/x
  3. Step 3: Cross multiply
    785.34x = 1,083.56 × 490.46
  4. Step 4: Simplify right side
    785.34x = 531,434.97
  5. Step 5: Solve for x
    x = 531,434.97/785.34
  6. Step 6: Final answer
    x = 676.69

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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.