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Finding the Fourth Proportional to 671.01, 1,004.41 and 461.55

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Solution

The fourth proportional to 671.01, 1,004.41 and 461.55 is: 690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.01 : 1,004.41 = 461.55 : x
  2. Step 2: Convert to fraction form
    671.01/1,004.41 = 461.55/x
  3. Step 3: Cross multiply
    671.01x = 1,004.41 × 461.55
  4. Step 4: Simplify right side
    671.01x = 463,583.13
  5. Step 5: Solve for x
    x = 463,583.13/671.01
  6. Step 6: Final answer
    x = 690.87

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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.