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Finding the Fourth Proportional to 920.44, 1,266.43 and 795.70

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Solution

The fourth proportional to 920.44, 1,266.43 and 795.70 is: 1,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.44 : 1,266.43 = 795.70 : x
  2. Step 2: Convert to fraction form
    920.44/1,266.43 = 795.70/x
  3. Step 3: Cross multiply
    920.44x = 1,266.43 × 795.70
  4. Step 4: Simplify right side
    920.44x = 1,007,698.35
  5. Step 5: Solve for x
    x = 1,007,698.35/920.44
  6. Step 6: Final answer
    x = 1,094.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.