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Finding the Fourth Proportional to 1,021.60, 1,410.78 and 936.55

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Solution

The fourth proportional to 1,021.60, 1,410.78 and 936.55 is: 1,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.60 : 1,410.78 = 936.55 : x
  2. Step 2: Convert to fraction form
    1,021.60/1,410.78 = 936.55/x
  3. Step 3: Cross multiply
    1,021.60x = 1,410.78 × 936.55
  4. Step 4: Simplify right side
    1,021.60x = 1,321,266.01
  5. Step 5: Solve for x
    x = 1,321,266.01/1,021.60
  6. Step 6: Final answer
    x = 1,293.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.