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Finding the Fourth Proportional to 857.12, 1,182.83 and 464.14

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Solution

The fourth proportional to 857.12, 1,182.83 and 464.14 is: 640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.12 : 1,182.83 = 464.14 : x
  2. Step 2: Convert to fraction form
    857.12/1,182.83 = 464.14/x
  3. Step 3: Cross multiply
    857.12x = 1,182.83 × 464.14
  4. Step 4: Simplify right side
    857.12x = 548,997.87
  5. Step 5: Solve for x
    x = 548,997.87/857.12
  6. Step 6: Final answer
    x = 640.52

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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.