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Finding the Fourth Proportional to 1,121.70, 1,682.62 and 341.66

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Solution

The fourth proportional to 1,121.70, 1,682.62 and 341.66 is: 512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.70 : 1,682.62 = 341.66 : x
  2. Step 2: Convert to fraction form
    1,121.70/1,682.62 = 341.66/x
  3. Step 3: Cross multiply
    1,121.70x = 1,682.62 × 341.66
  4. Step 4: Simplify right side
    1,121.70x = 574,883.95
  5. Step 5: Solve for x
    x = 574,883.95/1,121.70
  6. Step 6: Final answer
    x = 512.51

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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.