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Finding the Fourth Proportional to 671.63, 1,007.10 and 324.74

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Solution

The fourth proportional to 671.63, 1,007.10 and 324.74 is: 486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.63 : 1,007.10 = 324.74 : x
  2. Step 2: Convert to fraction form
    671.63/1,007.10 = 324.74/x
  3. Step 3: Cross multiply
    671.63x = 1,007.10 × 324.74
  4. Step 4: Simplify right side
    671.63x = 327,048.17
  5. Step 5: Solve for x
    x = 327,048.17/671.63
  6. Step 6: Final answer
    x = 486.95

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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.