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Finding the Fourth Proportional to 857.28, 1,183.04 and 464.30

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Solution

The fourth proportional to 857.28, 1,183.04 and 464.30 is: 640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.28 : 1,183.04 = 464.30 : x
  2. Step 2: Convert to fraction form
    857.28/1,183.04 = 464.30/x
  3. Step 3: Cross multiply
    857.28x = 1,183.04 × 464.30
  4. Step 4: Simplify right side
    857.28x = 549,283.41
  5. Step 5: Solve for x
    x = 549,283.41/857.28
  6. Step 6: Final answer
    x = 640.73

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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.