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Finding the Fourth Proportional to 1,310.12, 1,965.50 and 444.44

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Solution

The fourth proportional to 1,310.12, 1,965.50 and 444.44 is: 666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.12 : 1,965.50 = 444.44 : x
  2. Step 2: Convert to fraction form
    1,310.12/1,965.50 = 444.44/x
  3. Step 3: Cross multiply
    1,310.12x = 1,965.50 × 444.44
  4. Step 4: Simplify right side
    1,310.12x = 873,546.82
  5. Step 5: Solve for x
    x = 873,546.82/1,310.12
  6. Step 6: Final answer
    x = 666.77

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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.