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Finding the Fourth Proportional to 1,369.65, 2,054.23 and 445.07

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Solution

The fourth proportional to 1,369.65, 2,054.23 and 445.07 is: 667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.65 : 2,054.23 = 445.07 : x
  2. Step 2: Convert to fraction form
    1,369.65/2,054.23 = 445.07/x
  3. Step 3: Cross multiply
    1,369.65x = 2,054.23 × 445.07
  4. Step 4: Simplify right side
    1,369.65x = 914,276.15
  5. Step 5: Solve for x
    x = 914,276.15/1,369.65
  6. Step 6: Final answer
    x = 667.53

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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.