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Finding the Fourth Proportional to 676.69, 1,014.51 and 286.37

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Solution

The fourth proportional to 676.69, 1,014.51 and 286.37 is: 429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.69 : 1,014.51 = 286.37 : x
  2. Step 2: Convert to fraction form
    676.69/1,014.51 = 286.37/x
  3. Step 3: Cross multiply
    676.69x = 1,014.51 × 286.37
  4. Step 4: Simplify right side
    676.69x = 290,525.23
  5. Step 5: Solve for x
    x = 290,525.23/676.69
  6. Step 6: Final answer
    x = 429.33

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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.