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Finding the Fourth Proportional to 1,161.37, 1,741.74 and 339.43

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Solution

The fourth proportional to 1,161.37, 1,741.74 and 339.43 is: 509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.37 : 1,741.74 = 339.43 : x
  2. Step 2: Convert to fraction form
    1,161.37/1,741.74 = 339.43/x
  3. Step 3: Cross multiply
    1,161.37x = 1,741.74 × 339.43
  4. Step 4: Simplify right side
    1,161.37x = 591,198.81
  5. Step 5: Solve for x
    x = 591,198.81/1,161.37
  6. Step 6: Final answer
    x = 509.05

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1.5x scale

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.