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Finding the Fourth Proportional to 1,369.38, 2,054.34 and 676.02

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Solution

The fourth proportional to 1,369.38, 2,054.34 and 676.02 is: 1,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.38 : 2,054.34 = 676.02 : x
  2. Step 2: Convert to fraction form
    1,369.38/2,054.34 = 676.02/x
  3. Step 3: Cross multiply
    1,369.38x = 2,054.34 × 676.02
  4. Step 4: Simplify right side
    1,369.38x = 1,388,774.93
  5. Step 5: Solve for x
    x = 1,388,774.93/1,369.38
  6. Step 6: Final answer
    x = 1,014.16

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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.