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Finding the Fourth Proportional to 1,268.31, 1,902.61 and 446.41

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Solution

The fourth proportional to 1,268.31, 1,902.61 and 446.41 is: 669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.31 : 1,902.61 = 446.41 : x
  2. Step 2: Convert to fraction form
    1,268.31/1,902.61 = 446.41/x
  3. Step 3: Cross multiply
    1,268.31x = 1,902.61 × 446.41
  4. Step 4: Simplify right side
    1,268.31x = 849,339.37
  5. Step 5: Solve for x
    x = 849,339.37/1,268.31
  6. Step 6: Final answer
    x = 669.66

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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.