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Finding the Fourth Proportional to 1,268.50, 1,901.26 and 446.32

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Solution

The fourth proportional to 1,268.50, 1,901.26 and 446.32 is: 668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.50 : 1,901.26 = 446.32 : x
  2. Step 2: Convert to fraction form
    1,268.50/1,901.26 = 446.32/x
  3. Step 3: Cross multiply
    1,268.50x = 1,901.26 × 446.32
  4. Step 4: Simplify right side
    1,268.50x = 848,570.36
  5. Step 5: Solve for x
    x = 848,570.36/1,268.50
  6. Step 6: Final answer
    x = 668.96

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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.