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Finding the Fourth Proportional to 858.94, 1,185.14 and 579.70

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Solution

The fourth proportional to 858.94, 1,185.14 and 579.70 is: 799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.94 : 1,185.14 = 579.70 : x
  2. Step 2: Convert to fraction form
    858.94/1,185.14 = 579.70/x
  3. Step 3: Cross multiply
    858.94x = 1,185.14 × 579.70
  4. Step 4: Simplify right side
    858.94x = 687,019.73
  5. Step 5: Solve for x
    x = 687,019.73/858.94
  6. Step 6: Final answer
    x = 799.85

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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.