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Finding the Fourth Proportional to 785.06, 1,084.10 and 505.94

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Solution

The fourth proportional to 785.06, 1,084.10 and 505.94 is: 698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.06 : 1,084.10 = 505.94 : x
  2. Step 2: Convert to fraction form
    785.06/1,084.10 = 505.94/x
  3. Step 3: Cross multiply
    785.06x = 1,084.10 × 505.94
  4. Step 4: Simplify right side
    785.06x = 548,481.60
  5. Step 5: Solve for x
    x = 548,481.60/785.06
  6. Step 6: Final answer
    x = 698.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.