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Finding the Fourth Proportional to 1,310.36, 1,965.61 and 336.47

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Solution

The fourth proportional to 1,310.36, 1,965.61 and 336.47 is: 504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.36 : 1,965.61 = 336.47 : x
  2. Step 2: Convert to fraction form
    1,310.36/1,965.61 = 336.47/x
  3. Step 3: Cross multiply
    1,310.36x = 1,965.61 × 336.47
  4. Step 4: Simplify right side
    1,310.36x = 661,368.80
  5. Step 5: Solve for x
    x = 661,368.80/1,310.36
  6. Step 6: Final answer
    x = 504.72

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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.