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Finding the Fourth Proportional to 1,267.79, 1,902.56 and 446.07

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Solution

The fourth proportional to 1,267.79, 1,902.56 and 446.07 is: 669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.79 : 1,902.56 = 446.07 : x
  2. Step 2: Convert to fraction form
    1,267.79/1,902.56 = 446.07/x
  3. Step 3: Cross multiply
    1,267.79x = 1,902.56 × 446.07
  4. Step 4: Simplify right side
    1,267.79x = 848,679.84
  5. Step 5: Solve for x
    x = 848,679.84/1,267.79
  6. Step 6: Final answer
    x = 669.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.