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Finding the Fourth Proportional to 1,266.28, 1,747.25 and 845.96

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Solution

The fourth proportional to 1,266.28, 1,747.25 and 845.96 is: 1,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.28 : 1,747.25 = 845.96 : x
  2. Step 2: Convert to fraction form
    1,266.28/1,747.25 = 845.96/x
  3. Step 3: Cross multiply
    1,266.28x = 1,747.25 × 845.96
  4. Step 4: Simplify right side
    1,266.28x = 1,478,094.87
  5. Step 5: Solve for x
    x = 1,478,094.87/1,266.28
  6. Step 6: Final answer
    x = 1,167.28

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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.