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Finding the Fourth Proportional to 1,161.37, 1,742.09 and 339.65

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Solution

The fourth proportional to 1,161.37, 1,742.09 and 339.65 is: 509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.37 : 1,742.09 = 339.65 : x
  2. Step 2: Convert to fraction form
    1,161.37/1,742.09 = 339.65/x
  3. Step 3: Cross multiply
    1,161.37x = 1,742.09 × 339.65
  4. Step 4: Simplify right side
    1,161.37x = 591,693.01
  5. Step 5: Solve for x
    x = 591,693.01/1,161.37
  6. Step 6: Final answer
    x = 509.48

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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.