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Finding the Fourth Proportional to 1,165.64, 1,748.25 and 343.71

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Solution

The fourth proportional to 1,165.64, 1,748.25 and 343.71 is: 515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.64 : 1,748.25 = 343.71 : x
  2. Step 2: Convert to fraction form
    1,165.64/1,748.25 = 343.71/x
  3. Step 3: Cross multiply
    1,165.64x = 1,748.25 × 343.71
  4. Step 4: Simplify right side
    1,165.64x = 600,891.01
  5. Step 5: Solve for x
    x = 600,891.01/1,165.64
  6. Step 6: Final answer
    x = 515.51

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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.