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Finding the Fourth Proportional to 676.21, 1,014.32 and 632.47

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Solution

The fourth proportional to 676.21, 1,014.32 and 632.47 is: 948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.21 : 1,014.32 = 632.47 : x
  2. Step 2: Convert to fraction form
    676.21/1,014.32 = 632.47/x
  3. Step 3: Cross multiply
    676.21x = 1,014.32 × 632.47
  4. Step 4: Simplify right side
    676.21x = 641,526.97
  5. Step 5: Solve for x
    x = 641,526.97/676.21
  6. Step 6: Final answer
    x = 948.71

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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.