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Finding the Fourth Proportional to 942.79, 1,414.12 and 448.83

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Solution

The fourth proportional to 942.79, 1,414.12 and 448.83 is: 673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.79 : 1,414.12 = 448.83 : x
  2. Step 2: Convert to fraction form
    942.79/1,414.12 = 448.83/x
  3. Step 3: Cross multiply
    942.79x = 1,414.12 × 448.83
  4. Step 4: Simplify right side
    942.79x = 634,697.84
  5. Step 5: Solve for x
    x = 634,697.84/942.79
  6. Step 6: Final answer
    x = 673.21

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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.