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Finding the Fourth Proportional to 918.88, 1,378.40 and 794.23

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Solution

The fourth proportional to 918.88, 1,378.40 and 794.23 is: 1,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.88 : 1,378.40 = 794.23 : x
  2. Step 2: Convert to fraction form
    918.88/1,378.40 = 794.23/x
  3. Step 3: Cross multiply
    918.88x = 1,378.40 × 794.23
  4. Step 4: Simplify right side
    918.88x = 1,094,759.21
  5. Step 5: Solve for x
    x = 1,094,759.21/918.88
  6. Step 6: Final answer
    x = 1,191.41

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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.