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Finding the Fourth Proportional to 675.64, 1,012.30 and 428.24

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Solution

The fourth proportional to 675.64, 1,012.30 and 428.24 is: 641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.64 : 1,012.30 = 428.24 : x
  2. Step 2: Convert to fraction form
    675.64/1,012.30 = 428.24/x
  3. Step 3: Cross multiply
    675.64x = 1,012.30 × 428.24
  4. Step 4: Simplify right side
    675.64x = 433,503.12
  5. Step 5: Solve for x
    x = 433,503.12/675.64
  6. Step 6: Final answer
    x = 641.62

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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.