Home / 1,228.21-1,693.53-932.96

Finding the Fourth Proportional to 1,228.21, 1,693.53 and 932.96

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Solution

The fourth proportional to 1,228.21, 1,693.53 and 932.96 is: 1,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.21 : 1,693.53 = 932.96 : x
  2. Step 2: Convert to fraction form
    1,228.21/1,693.53 = 932.96/x
  3. Step 3: Cross multiply
    1,228.21x = 1,693.53 × 932.96
  4. Step 4: Simplify right side
    1,228.21x = 1,579,999.98
  5. Step 5: Solve for x
    x = 1,579,999.98/1,228.21
  6. Step 6: Final answer
    x = 1,286.43

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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.