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Finding the Fourth Proportional to 857.22, 1,285.02 and 424.14

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Solution

The fourth proportional to 857.22, 1,285.02 and 424.14 is: 635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.22 : 1,285.02 = 424.14 : x
  2. Step 2: Convert to fraction form
    857.22/1,285.02 = 424.14/x
  3. Step 3: Cross multiply
    857.22x = 1,285.02 × 424.14
  4. Step 4: Simplify right side
    857.22x = 545,028.38
  5. Step 5: Solve for x
    x = 545,028.38/857.22
  6. Step 6: Final answer
    x = 635.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.