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Finding the Fourth Proportional to 1,367.75, 2,051.45 and 380.64

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Solution

The fourth proportional to 1,367.75, 2,051.45 and 380.64 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.75 : 2,051.45 = 380.64 : x
  2. Step 2: Convert to fraction form
    1,367.75/2,051.45 = 380.64/x
  3. Step 3: Cross multiply
    1,367.75x = 2,051.45 × 380.64
  4. Step 4: Simplify right side
    1,367.75x = 780,855.95
  5. Step 5: Solve for x
    x = 780,855.95/1,367.75
  6. Step 6: Final answer
    x = 570.91

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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.