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Finding the Fourth Proportional to 785.80, 1,083.78 and 506.06

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Solution

The fourth proportional to 785.80, 1,083.78 and 506.06 is: 697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.80 : 1,083.78 = 506.06 : x
  2. Step 2: Convert to fraction form
    785.80/1,083.78 = 506.06/x
  3. Step 3: Cross multiply
    785.80x = 1,083.78 × 506.06
  4. Step 4: Simplify right side
    785.80x = 548,456.35
  5. Step 5: Solve for x
    x = 548,456.35/785.80
  6. Step 6: Final answer
    x = 697.96

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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.