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Finding the Fourth Proportional to 942.64, 1,414.19 and 552.89

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Solution

The fourth proportional to 942.64, 1,414.19 and 552.89 is: 829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.64 : 1,414.19 = 552.89 : x
  2. Step 2: Convert to fraction form
    942.64/1,414.19 = 552.89/x
  3. Step 3: Cross multiply
    942.64x = 1,414.19 × 552.89
  4. Step 4: Simplify right side
    942.64x = 781,896.43
  5. Step 5: Solve for x
    x = 781,896.43/942.64
  6. Step 6: Final answer
    x = 829.48

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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.