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Finding the Fourth Proportional to 1,165.62, 1,748.74 and 343.86

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Solution

The fourth proportional to 1,165.62, 1,748.74 and 343.86 is: 515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.62 : 1,748.74 = 343.86 : x
  2. Step 2: Convert to fraction form
    1,165.62/1,748.74 = 343.86/x
  3. Step 3: Cross multiply
    1,165.62x = 1,748.74 × 343.86
  4. Step 4: Simplify right side
    1,165.62x = 601,321.74
  5. Step 5: Solve for x
    x = 601,321.74/1,165.62
  6. Step 6: Final answer
    x = 515.88

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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.