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Finding the Fourth Proportional to 942.14, 1,414.02 and 455.60

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Solution

The fourth proportional to 942.14, 1,414.02 and 455.60 is: 683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.14 : 1,414.02 = 455.60 : x
  2. Step 2: Convert to fraction form
    942.14/1,414.02 = 455.60/x
  3. Step 3: Cross multiply
    942.14x = 1,414.02 × 455.60
  4. Step 4: Simplify right side
    942.14x = 644,227.51
  5. Step 5: Solve for x
    x = 644,227.51/942.14
  6. Step 6: Final answer
    x = 683.79

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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.