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Finding the Fourth Proportional to 1,165.14, 1,747.80 and 343.53

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Solution

The fourth proportional to 1,165.14, 1,747.80 and 343.53 is: 515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.14 : 1,747.80 = 343.53 : x
  2. Step 2: Convert to fraction form
    1,165.14/1,747.80 = 343.53/x
  3. Step 3: Cross multiply
    1,165.14x = 1,747.80 × 343.53
  4. Step 4: Simplify right side
    1,165.14x = 600,421.73
  5. Step 5: Solve for x
    x = 600,421.73/1,165.14
  6. Step 6: Final answer
    x = 515.32

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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.