Home / 1,214.27-1,675.13-742.09

Finding the Fourth Proportional to 1,214.27, 1,675.13 and 742.09

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Solution

The fourth proportional to 1,214.27, 1,675.13 and 742.09 is: 1,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.27 : 1,675.13 = 742.09 : x
  2. Step 2: Convert to fraction form
    1,214.27/1,675.13 = 742.09/x
  3. Step 3: Cross multiply
    1,214.27x = 1,675.13 × 742.09
  4. Step 4: Simplify right side
    1,214.27x = 1,243,091.93
  5. Step 5: Solve for x
    x = 1,243,091.93/1,214.27
  6. Step 6: Final answer
    x = 1,023.74

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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.