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Finding the Fourth Proportional to 671.82, 1,008.33 and 466.48

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Solution

The fourth proportional to 671.82, 1,008.33 and 466.48 is: 700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.82 : 1,008.33 = 466.48 : x
  2. Step 2: Convert to fraction form
    671.82/1,008.33 = 466.48/x
  3. Step 3: Cross multiply
    671.82x = 1,008.33 × 466.48
  4. Step 4: Simplify right side
    671.82x = 470,365.78
  5. Step 5: Solve for x
    x = 470,365.78/671.82
  6. Step 6: Final answer
    x = 700.14

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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.