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Finding the Fourth Proportional to 1,310.32, 1,965.31 and 336.43

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Solution

The fourth proportional to 1,310.32, 1,965.31 and 336.43 is: 504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.32 : 1,965.31 = 336.43 : x
  2. Step 2: Convert to fraction form
    1,310.32/1,965.31 = 336.43/x
  3. Step 3: Cross multiply
    1,310.32x = 1,965.31 × 336.43
  4. Step 4: Simplify right side
    1,310.32x = 661,189.24
  5. Step 5: Solve for x
    x = 661,189.24/1,310.32
  6. Step 6: Final answer
    x = 504.60

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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.