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Finding the Fourth Proportional to 675.12, 1,012.32 and 397.57

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Solution

The fourth proportional to 675.12, 1,012.32 and 397.57 is: 596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.12 : 1,012.32 = 397.57 : x
  2. Step 2: Convert to fraction form
    675.12/1,012.32 = 397.57/x
  3. Step 3: Cross multiply
    675.12x = 1,012.32 × 397.57
  4. Step 4: Simplify right side
    675.12x = 402,469.33
  5. Step 5: Solve for x
    x = 402,469.33/675.12
  6. Step 6: Final answer
    x = 596.14

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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.