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Finding the Fourth Proportional to 1,310.46, 1,965.64 and 336.57

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Solution

The fourth proportional to 1,310.46, 1,965.64 and 336.57 is: 504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.46 : 1,965.64 = 336.57 : x
  2. Step 2: Convert to fraction form
    1,310.46/1,965.64 = 336.57/x
  3. Step 3: Cross multiply
    1,310.46x = 1,965.64 × 336.57
  4. Step 4: Simplify right side
    1,310.46x = 661,575.45
  5. Step 5: Solve for x
    x = 661,575.45/1,310.46
  6. Step 6: Final answer
    x = 504.84

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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.