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Finding the Fourth Proportional to 671.41, 1,005.94 and 466.11

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Solution

The fourth proportional to 671.41, 1,005.94 and 466.11 is: 698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.41 : 1,005.94 = 466.11 : x
  2. Step 2: Convert to fraction form
    671.41/1,005.94 = 466.11/x
  3. Step 3: Cross multiply
    671.41x = 1,005.94 × 466.11
  4. Step 4: Simplify right side
    671.41x = 468,883.42
  5. Step 5: Solve for x
    x = 468,883.42/671.41
  6. Step 6: Final answer
    x = 698.35

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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.