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Finding the Fourth Proportional to 1,027.38, 1,546.63 and 938.10

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Solution

The fourth proportional to 1,027.38, 1,546.63 and 938.10 is: 1,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.38 : 1,546.63 = 938.10 : x
  2. Step 2: Convert to fraction form
    1,027.38/1,546.63 = 938.10/x
  3. Step 3: Cross multiply
    1,027.38x = 1,546.63 × 938.10
  4. Step 4: Simplify right side
    1,027.38x = 1,450,893.60
  5. Step 5: Solve for x
    x = 1,450,893.60/1,027.38
  6. Step 6: Final answer
    x = 1,412.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.