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Finding the Fourth Proportional to 1,310.09, 1,965.80 and 725.56

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Solution

The fourth proportional to 1,310.09, 1,965.80 and 725.56 is: 1,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.09 : 1,965.80 = 725.56 : x
  2. Step 2: Convert to fraction form
    1,310.09/1,965.80 = 725.56/x
  3. Step 3: Cross multiply
    1,310.09x = 1,965.80 × 725.56
  4. Step 4: Simplify right side
    1,310.09x = 1,426,302.75
  5. Step 5: Solve for x
    x = 1,426,302.75/1,310.09
  6. Step 6: Final answer
    x = 1,088.71

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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.