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Finding the Fourth Proportional to 1,193.05, 1,646.24 and 661.85

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Solution

The fourth proportional to 1,193.05, 1,646.24 and 661.85 is: 913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.05 : 1,646.24 = 661.85 : x
  2. Step 2: Convert to fraction form
    1,193.05/1,646.24 = 661.85/x
  3. Step 3: Cross multiply
    1,193.05x = 1,646.24 × 661.85
  4. Step 4: Simplify right side
    1,193.05x = 1,089,563.94
  5. Step 5: Solve for x
    x = 1,089,563.94/1,193.05
  6. Step 6: Final answer
    x = 913.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.