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Finding the Fourth Proportional to 1,268.06, 1,902.22 and 446.51

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Solution

The fourth proportional to 1,268.06, 1,902.22 and 446.51 is: 669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.06 : 1,902.22 = 446.51 : x
  2. Step 2: Convert to fraction form
    1,268.06/1,902.22 = 446.51/x
  3. Step 3: Cross multiply
    1,268.06x = 1,902.22 × 446.51
  4. Step 4: Simplify right side
    1,268.06x = 849,363.89
  5. Step 5: Solve for x
    x = 849,363.89/1,268.06
  6. Step 6: Final answer
    x = 669.82

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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.