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Finding the Fourth Proportional to 857.80, 1,287.12 and 310.12

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Solution

The fourth proportional to 857.80, 1,287.12 and 310.12 is: 465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.80 : 1,287.12 = 310.12 : x
  2. Step 2: Convert to fraction form
    857.80/1,287.12 = 310.12/x
  3. Step 3: Cross multiply
    857.80x = 1,287.12 × 310.12
  4. Step 4: Simplify right side
    857.80x = 399,161.65
  5. Step 5: Solve for x
    x = 399,161.65/857.80
  6. Step 6: Final answer
    x = 465.33

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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.