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Finding the Fourth Proportional to 785.98, 1,084.18 and 506.12

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Solution

The fourth proportional to 785.98, 1,084.18 and 506.12 is: 698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.98 : 1,084.18 = 506.12 : x
  2. Step 2: Convert to fraction form
    785.98/1,084.18 = 506.12/x
  3. Step 3: Cross multiply
    785.98x = 1,084.18 × 506.12
  4. Step 4: Simplify right side
    785.98x = 548,725.18
  5. Step 5: Solve for x
    x = 548,725.18/785.98
  6. Step 6: Final answer
    x = 698.14

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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.