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Finding the Fourth Proportional to 671.40, 1,004.51 and 411.35

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Solution

The fourth proportional to 671.40, 1,004.51 and 411.35 is: 615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.40 : 1,004.51 = 411.35 : x
  2. Step 2: Convert to fraction form
    671.40/1,004.51 = 411.35/x
  3. Step 3: Cross multiply
    671.40x = 1,004.51 × 411.35
  4. Step 4: Simplify right side
    671.40x = 413,201.19
  5. Step 5: Solve for x
    x = 413,201.19/671.40
  6. Step 6: Final answer
    x = 615.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.