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Finding the Fourth Proportional to 1,310.13, 1,965.74 and 444.69

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Solution

The fourth proportional to 1,310.13, 1,965.74 and 444.69 is: 667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.13 : 1,965.74 = 444.69 : x
  2. Step 2: Convert to fraction form
    1,310.13/1,965.74 = 444.69/x
  3. Step 3: Cross multiply
    1,310.13x = 1,965.74 × 444.69
  4. Step 4: Simplify right side
    1,310.13x = 874,142.70
  5. Step 5: Solve for x
    x = 874,142.70/1,310.13
  6. Step 6: Final answer
    x = 667.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.