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Finding the Fourth Proportional to 967.31, 1,334.68 and 547.63

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Solution

The fourth proportional to 967.31, 1,334.68 and 547.63 is: 755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.31 : 1,334.68 = 547.63 : x
  2. Step 2: Convert to fraction form
    967.31/1,334.68 = 547.63/x
  3. Step 3: Cross multiply
    967.31x = 1,334.68 × 547.63
  4. Step 4: Simplify right side
    967.31x = 730,906.10
  5. Step 5: Solve for x
    x = 730,906.10/967.31
  6. Step 6: Final answer
    x = 755.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.