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Finding the Fourth Proportional to 942.46, 1,414.06 and 455.48

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Solution

The fourth proportional to 942.46, 1,414.06 and 455.48 is: 683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.46 : 1,414.06 = 455.48 : x
  2. Step 2: Convert to fraction form
    942.46/1,414.06 = 455.48/x
  3. Step 3: Cross multiply
    942.46x = 1,414.06 × 455.48
  4. Step 4: Simplify right side
    942.46x = 644,076.05
  5. Step 5: Solve for x
    x = 644,076.05/942.46
  6. Step 6: Final answer
    x = 683.40

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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.