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Finding the Fourth Proportional to 1,161.37, 1,742.33 and 339.66

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Solution

The fourth proportional to 1,161.37, 1,742.33 and 339.66 is: 509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.37 : 1,742.33 = 339.66 : x
  2. Step 2: Convert to fraction form
    1,161.37/1,742.33 = 339.66/x
  3. Step 3: Cross multiply
    1,161.37x = 1,742.33 × 339.66
  4. Step 4: Simplify right side
    1,161.37x = 591,789.40
  5. Step 5: Solve for x
    x = 591,789.40/1,161.37
  6. Step 6: Final answer
    x = 509.56

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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.