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Finding the Fourth Proportional to 857.75, 1,284.87 and 446.14

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Solution

The fourth proportional to 857.75, 1,284.87 and 446.14 is: 668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.75 : 1,284.87 = 446.14 : x
  2. Step 2: Convert to fraction form
    857.75/1,284.87 = 446.14/x
  3. Step 3: Cross multiply
    857.75x = 1,284.87 × 446.14
  4. Step 4: Simplify right side
    857.75x = 573,225.48
  5. Step 5: Solve for x
    x = 573,225.48/857.75
  6. Step 6: Final answer
    x = 668.29

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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.