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Finding the Fourth Proportional to 1,369.43, 2,054.26 and 444.63

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Solution

The fourth proportional to 1,369.43, 2,054.26 and 444.63 is: 666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.43 : 2,054.26 = 444.63 : x
  2. Step 2: Convert to fraction form
    1,369.43/2,054.26 = 444.63/x
  3. Step 3: Cross multiply
    1,369.43x = 2,054.26 × 444.63
  4. Step 4: Simplify right side
    1,369.43x = 913,376.46
  5. Step 5: Solve for x
    x = 913,376.46/1,369.43
  6. Step 6: Final answer
    x = 666.97

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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.