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Finding the Fourth Proportional to 785.17, 1,084.64 and 628.84

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Solution

The fourth proportional to 785.17, 1,084.64 and 628.84 is: 868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.17 : 1,084.64 = 628.84 : x
  2. Step 2: Convert to fraction form
    785.17/1,084.64 = 628.84/x
  3. Step 3: Cross multiply
    785.17x = 1,084.64 × 628.84
  4. Step 4: Simplify right side
    785.17x = 682,065.02
  5. Step 5: Solve for x
    x = 682,065.02/785.17
  6. Step 6: Final answer
    x = 868.68

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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.