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Finding the Fourth Proportional to 1,161.21, 1,742.49 and 467.76

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Solution

The fourth proportional to 1,161.21, 1,742.49 and 467.76 is: 701.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.21 : 1,742.49 = 467.76 : x
  2. Step 2: Convert to fraction form
    1,161.21/1,742.49 = 467.76/x
  3. Step 3: Cross multiply
    1,161.21x = 1,742.49 × 467.76
  4. Step 4: Simplify right side
    1,161.21x = 815,067.12
  5. Step 5: Solve for x
    x = 815,067.12/1,161.21
  6. Step 6: Final answer
    x = 701.91

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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.