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Finding the Fourth Proportional to 1,310.34, 1,965.82 and 444.66

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Solution

The fourth proportional to 1,310.34, 1,965.82 and 444.66 is: 667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.34 : 1,965.82 = 444.66 : x
  2. Step 2: Convert to fraction form
    1,310.34/1,965.82 = 444.66/x
  3. Step 3: Cross multiply
    1,310.34x = 1,965.82 × 444.66
  4. Step 4: Simplify right side
    1,310.34x = 874,113.87
  5. Step 5: Solve for x
    x = 874,113.87/1,310.34
  6. Step 6: Final answer
    x = 667.09

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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.