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Finding the Fourth Proportional to 1,165.43, 1,747.80 and 343.51

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Solution

The fourth proportional to 1,165.43, 1,747.80 and 343.51 is: 515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.43 : 1,747.80 = 343.51 : x
  2. Step 2: Convert to fraction form
    1,165.43/1,747.80 = 343.51/x
  3. Step 3: Cross multiply
    1,165.43x = 1,747.80 × 343.51
  4. Step 4: Simplify right side
    1,165.43x = 600,382.41
  5. Step 5: Solve for x
    x = 600,382.41/1,165.43
  6. Step 6: Final answer
    x = 515.16

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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.