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Finding the Fourth Proportional to 857.91, 1,183.89 and 464.93

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Solution

The fourth proportional to 857.91, 1,183.89 and 464.93 is: 641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.91 : 1,183.89 = 464.93 : x
  2. Step 2: Convert to fraction form
    857.91/1,183.89 = 464.93/x
  3. Step 3: Cross multiply
    857.91x = 1,183.89 × 464.93
  4. Step 4: Simplify right side
    857.91x = 550,420.06
  5. Step 5: Solve for x
    x = 550,420.06/857.91
  6. Step 6: Final answer
    x = 641.58

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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.