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Finding the Fourth Proportional to 1,310.60, 1,965.89 and 336.70

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Solution

The fourth proportional to 1,310.60, 1,965.89 and 336.70 is: 505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.60 : 1,965.89 = 336.70 : x
  2. Step 2: Convert to fraction form
    1,310.60/1,965.89 = 336.70/x
  3. Step 3: Cross multiply
    1,310.60x = 1,965.89 × 336.70
  4. Step 4: Simplify right side
    1,310.60x = 661,905.33
  5. Step 5: Solve for x
    x = 661,905.33/1,310.60
  6. Step 6: Final answer
    x = 505.04

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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.