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Finding the Fourth Proportional to 858.56, 1,185.77 and 664.43

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Solution

The fourth proportional to 858.56, 1,185.77 and 664.43 is: 917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.56 : 1,185.77 = 664.43 : x
  2. Step 2: Convert to fraction form
    858.56/1,185.77 = 664.43/x
  3. Step 3: Cross multiply
    858.56x = 1,185.77 × 664.43
  4. Step 4: Simplify right side
    858.56x = 787,856.89
  5. Step 5: Solve for x
    x = 787,856.89/858.56
  6. Step 6: Final answer
    x = 917.65

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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.