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Finding the Fourth Proportional to 1,369.82, 2,054.76 and 445.38

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Solution

The fourth proportional to 1,369.82, 2,054.76 and 445.38 is: 668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.82 : 2,054.76 = 445.38 : x
  2. Step 2: Convert to fraction form
    1,369.82/2,054.76 = 445.38/x
  3. Step 3: Cross multiply
    1,369.82x = 2,054.76 × 445.38
  4. Step 4: Simplify right side
    1,369.82x = 915,149.01
  5. Step 5: Solve for x
    x = 915,149.01/1,369.82
  6. Step 6: Final answer
    x = 668.08

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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.