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Finding the Fourth Proportional to 712.67, 1,068.93 and 226.04

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Solution

The fourth proportional to 712.67, 1,068.93 and 226.04 is: 339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.67 : 1,068.93 = 226.04 : x
  2. Step 2: Convert to fraction form
    712.67/1,068.93 = 226.04/x
  3. Step 3: Cross multiply
    712.67x = 1,068.93 × 226.04
  4. Step 4: Simplify right side
    712.67x = 241,615.59
  5. Step 5: Solve for x
    x = 241,615.59/712.67
  6. Step 6: Final answer
    x = 339.03

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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.