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Finding the Fourth Proportional to 1,161.05, 1,741.41 and 339.17

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Solution

The fourth proportional to 1,161.05, 1,741.41 and 339.17 is: 508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.05 : 1,741.41 = 339.17 : x
  2. Step 2: Convert to fraction form
    1,161.05/1,741.41 = 339.17/x
  3. Step 3: Cross multiply
    1,161.05x = 1,741.41 × 339.17
  4. Step 4: Simplify right side
    1,161.05x = 590,625.32
  5. Step 5: Solve for x
    x = 590,625.32/1,161.05
  6. Step 6: Final answer
    x = 508.70

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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.