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Finding the Fourth Proportional to 676.69, 1,015.27 and 446.51

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Solution

The fourth proportional to 676.69, 1,015.27 and 446.51 is: 669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.69 : 1,015.27 = 446.51 : x
  2. Step 2: Convert to fraction form
    676.69/1,015.27 = 446.51/x
  3. Step 3: Cross multiply
    676.69x = 1,015.27 × 446.51
  4. Step 4: Simplify right side
    676.69x = 453,329.63
  5. Step 5: Solve for x
    x = 453,329.63/676.69
  6. Step 6: Final answer
    x = 669.92

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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.