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Finding the Fourth Proportional to 855.87, 1,284.12 and 444.76

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Solution

The fourth proportional to 855.87, 1,284.12 and 444.76 is: 667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.87 : 1,284.12 = 444.76 : x
  2. Step 2: Convert to fraction form
    855.87/1,284.12 = 444.76/x
  3. Step 3: Cross multiply
    855.87x = 1,284.12 × 444.76
  4. Step 4: Simplify right side
    855.87x = 571,122.00
  5. Step 5: Solve for x
    x = 571,122.00/855.87
  6. Step 6: Final answer
    x = 667.30

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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.