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Finding the Fourth Proportional to 857.00, 1,182.67 and 464.03

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Solution

The fourth proportional to 857.00, 1,182.67 and 464.03 is: 640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.00 : 1,182.67 = 464.03 : x
  2. Step 2: Convert to fraction form
    857.00/1,182.67 = 464.03/x
  3. Step 3: Cross multiply
    857.00x = 1,182.67 × 464.03
  4. Step 4: Simplify right side
    857.00x = 548,791.72
  5. Step 5: Solve for x
    x = 548,791.72/857.00
  6. Step 6: Final answer
    x = 640.36

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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.