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Finding the Fourth Proportional to 1,369.58, 2,054.13 and 445.01

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Solution

The fourth proportional to 1,369.58, 2,054.13 and 445.01 is: 667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.58 : 2,054.13 = 445.01 : x
  2. Step 2: Convert to fraction form
    1,369.58/2,054.13 = 445.01/x
  3. Step 3: Cross multiply
    1,369.58x = 2,054.13 × 445.01
  4. Step 4: Simplify right side
    1,369.58x = 914,098.12
  5. Step 5: Solve for x
    x = 914,098.12/1,369.58
  6. Step 6: Final answer
    x = 667.43

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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.