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Finding the Fourth Proportional to 1,310.83, 1,966.25 and 445.75

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Solution

The fourth proportional to 1,310.83, 1,966.25 and 445.75 is: 668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.83 : 1,966.25 = 445.75 : x
  2. Step 2: Convert to fraction form
    1,310.83/1,966.25 = 445.75/x
  3. Step 3: Cross multiply
    1,310.83x = 1,966.25 × 445.75
  4. Step 4: Simplify right side
    1,310.83x = 876,455.94
  5. Step 5: Solve for x
    x = 876,455.94/1,310.83
  6. Step 6: Final answer
    x = 668.63

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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.