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Finding the Fourth Proportional to 857.89, 1,287.03 and 310.02

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Solution

The fourth proportional to 857.89, 1,287.03 and 310.02 is: 465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.89 : 1,287.03 = 310.02 : x
  2. Step 2: Convert to fraction form
    857.89/1,287.03 = 310.02/x
  3. Step 3: Cross multiply
    857.89x = 1,287.03 × 310.02
  4. Step 4: Simplify right side
    857.89x = 398,997.06
  5. Step 5: Solve for x
    x = 398,997.06/857.89
  6. Step 6: Final answer
    x = 465.09

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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.