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Finding the Fourth Proportional to 858.08, 1,183.92 and 547.76

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Solution

The fourth proportional to 858.08, 1,183.92 and 547.76 is: 755.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.08 : 1,183.92 = 547.76 : x
  2. Step 2: Convert to fraction form
    858.08/1,183.92 = 547.76/x
  3. Step 3: Cross multiply
    858.08x = 1,183.92 × 547.76
  4. Step 4: Simplify right side
    858.08x = 648,504.02
  5. Step 5: Solve for x
    x = 648,504.02/858.08
  6. Step 6: Final answer
    x = 755.76

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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.