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Finding the Fourth Proportional to 671.84, 1,006.97 and 324.68

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Solution

The fourth proportional to 671.84, 1,006.97 and 324.68 is: 486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.84 : 1,006.97 = 324.68 : x
  2. Step 2: Convert to fraction form
    671.84/1,006.97 = 324.68/x
  3. Step 3: Cross multiply
    671.84x = 1,006.97 × 324.68
  4. Step 4: Simplify right side
    671.84x = 326,943.02
  5. Step 5: Solve for x
    x = 326,943.02/671.84
  6. Step 6: Final answer
    x = 486.64

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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.