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Finding the Fourth Proportional to 857.14, 1,284.66 and 446.06

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Solution

The fourth proportional to 857.14, 1,284.66 and 446.06 is: 668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.14 : 1,284.66 = 446.06 : x
  2. Step 2: Convert to fraction form
    857.14/1,284.66 = 446.06/x
  3. Step 3: Cross multiply
    857.14x = 1,284.66 × 446.06
  4. Step 4: Simplify right side
    857.14x = 573,035.44
  5. Step 5: Solve for x
    x = 573,035.44/857.14
  6. Step 6: Final answer
    x = 668.54

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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.