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Finding the Fourth Proportional to 857.78, 1,183.74 and 464.81

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Solution

The fourth proportional to 857.78, 1,183.74 and 464.81 is: 641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.78 : 1,183.74 = 464.81 : x
  2. Step 2: Convert to fraction form
    857.78/1,183.74 = 464.81/x
  3. Step 3: Cross multiply
    857.78x = 1,183.74 × 464.81
  4. Step 4: Simplify right side
    857.78x = 550,208.27
  5. Step 5: Solve for x
    x = 550,208.27/857.78
  6. Step 6: Final answer
    x = 641.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.