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Finding the Fourth Proportional to 857.41, 1,183.23 and 464.43

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Solution

The fourth proportional to 857.41, 1,183.23 and 464.43 is: 640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.41 : 1,183.23 = 464.43 : x
  2. Step 2: Convert to fraction form
    857.41/1,183.23 = 464.43/x
  3. Step 3: Cross multiply
    857.41x = 1,183.23 × 464.43
  4. Step 4: Simplify right side
    857.41x = 549,525.19
  5. Step 5: Solve for x
    x = 549,525.19/857.41
  6. Step 6: Final answer
    x = 640.91

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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.