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Finding the Fourth Proportional to 737.22, 1,103.65 and 646.09

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Solution

The fourth proportional to 737.22, 1,103.65 and 646.09 is: 967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.22 : 1,103.65 = 646.09 : x
  2. Step 2: Convert to fraction form
    737.22/1,103.65 = 646.09/x
  3. Step 3: Cross multiply
    737.22x = 1,103.65 × 646.09
  4. Step 4: Simplify right side
    737.22x = 713,057.23
  5. Step 5: Solve for x
    x = 713,057.23/737.22
  6. Step 6: Final answer
    x = 967.22

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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.