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Finding the Fourth Proportional to 675.98, 1,014.05 and 213.63

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Solution

The fourth proportional to 675.98, 1,014.05 and 213.63 is: 320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.98 : 1,014.05 = 213.63 : x
  2. Step 2: Convert to fraction form
    675.98/1,014.05 = 213.63/x
  3. Step 3: Cross multiply
    675.98x = 1,014.05 × 213.63
  4. Step 4: Simplify right side
    675.98x = 216,630.43
  5. Step 5: Solve for x
    x = 216,630.43/675.98
  6. Step 6: Final answer
    x = 320.47

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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.