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Finding the Fourth Proportional to 1,121.40, 1,682.70 and 505.20

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Solution

The fourth proportional to 1,121.40, 1,682.70 and 505.20 is: 758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.40 : 1,682.70 = 505.20 : x
  2. Step 2: Convert to fraction form
    1,121.40/1,682.70 = 505.20/x
  3. Step 3: Cross multiply
    1,121.40x = 1,682.70 × 505.20
  4. Step 4: Simplify right side
    1,121.40x = 850,100.04
  5. Step 5: Solve for x
    x = 850,100.04/1,121.40
  6. Step 6: Final answer
    x = 758.07

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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.