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Finding the Fourth Proportional to 1,161.05, 1,741.69 and 339.31

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Solution

The fourth proportional to 1,161.05, 1,741.69 and 339.31 is: 508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.05 : 1,741.69 = 339.31 : x
  2. Step 2: Convert to fraction form
    1,161.05/1,741.69 = 339.31/x
  3. Step 3: Cross multiply
    1,161.05x = 1,741.69 × 339.31
  4. Step 4: Simplify right side
    1,161.05x = 590,964.13
  5. Step 5: Solve for x
    x = 590,964.13/1,161.05
  6. Step 6: Final answer
    x = 508.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.