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Finding the Fourth Proportional to 676.76, 1,015.35 and 286.56

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Solution

The fourth proportional to 676.76, 1,015.35 and 286.56 is: 429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.76 : 1,015.35 = 286.56 : x
  2. Step 2: Convert to fraction form
    676.76/1,015.35 = 286.56/x
  3. Step 3: Cross multiply
    676.76x = 1,015.35 × 286.56
  4. Step 4: Simplify right side
    676.76x = 290,958.70
  5. Step 5: Solve for x
    x = 290,958.70/676.76
  6. Step 6: Final answer
    x = 429.93

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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.