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Finding the Fourth Proportional to 1,236.01, 1,853.83 and 414.27

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Solution

The fourth proportional to 1,236.01, 1,853.83 and 414.27 is: 621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.01 : 1,853.83 = 414.27 : x
  2. Step 2: Convert to fraction form
    1,236.01/1,853.83 = 414.27/x
  3. Step 3: Cross multiply
    1,236.01x = 1,853.83 × 414.27
  4. Step 4: Simplify right side
    1,236.01x = 767,986.15
  5. Step 5: Solve for x
    x = 767,986.15/1,236.01
  6. Step 6: Final answer
    x = 621.34

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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.