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Finding the Fourth Proportional to 785.85, 1,084.73 and 506.09

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Solution

The fourth proportional to 785.85, 1,084.73 and 506.09 is: 698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.85 : 1,084.73 = 506.09 : x
  2. Step 2: Convert to fraction form
    785.85/1,084.73 = 506.09/x
  3. Step 3: Cross multiply
    785.85x = 1,084.73 × 506.09
  4. Step 4: Simplify right side
    785.85x = 548,971.19
  5. Step 5: Solve for x
    x = 548,971.19/785.85
  6. Step 6: Final answer
    x = 698.57

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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.