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Finding the Fourth Proportional to 857.27, 1,183.03 and 464.29

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Solution

The fourth proportional to 857.27, 1,183.03 and 464.29 is: 640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.27 : 1,183.03 = 464.29 : x
  2. Step 2: Convert to fraction form
    857.27/1,183.03 = 464.29/x
  3. Step 3: Cross multiply
    857.27x = 1,183.03 × 464.29
  4. Step 4: Simplify right side
    857.27x = 549,269.00
  5. Step 5: Solve for x
    x = 549,269.00/857.27
  6. Step 6: Final answer
    x = 640.72

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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.