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Finding the Fourth Proportional to 676.15, 1,015.13 and 369.06

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Solution

The fourth proportional to 676.15, 1,015.13 and 369.06 is: 554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.15 : 1,015.13 = 369.06 : x
  2. Step 2: Convert to fraction form
    676.15/1,015.13 = 369.06/x
  3. Step 3: Cross multiply
    676.15x = 1,015.13 × 369.06
  4. Step 4: Simplify right side
    676.15x = 374,640.99
  5. Step 5: Solve for x
    x = 374,640.99/676.15
  6. Step 6: Final answer
    x = 554.08

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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.