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Finding the Fourth Proportional to 1,485.78, 2,227.06 and 791.75

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Solution

The fourth proportional to 1,485.78, 2,227.06 and 791.75 is: 1,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.78 : 2,227.06 = 791.75 : x
  2. Step 2: Convert to fraction form
    1,485.78/2,227.06 = 791.75/x
  3. Step 3: Cross multiply
    1,485.78x = 2,227.06 × 791.75
  4. Step 4: Simplify right side
    1,485.78x = 1,763,274.76
  5. Step 5: Solve for x
    x = 1,763,274.76/1,485.78
  6. Step 6: Final answer
    x = 1,186.77

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1.5x scale

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.