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Finding the Fourth Proportional to 914.07, 1,369.90 and 798.21

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Solution

The fourth proportional to 914.07, 1,369.90 and 798.21 is: 1,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.07 : 1,369.90 = 798.21 : x
  2. Step 2: Convert to fraction form
    914.07/1,369.90 = 798.21/x
  3. Step 3: Cross multiply
    914.07x = 1,369.90 × 798.21
  4. Step 4: Simplify right side
    914.07x = 1,093,467.88
  5. Step 5: Solve for x
    x = 1,093,467.88/914.07
  6. Step 6: Final answer
    x = 1,196.26

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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.