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Finding the Fourth Proportional to 852.33, 1,175.81 and 741.63

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Solution

The fourth proportional to 852.33, 1,175.81 and 741.63 is: 1,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.33 : 1,175.81 = 741.63 : x
  2. Step 2: Convert to fraction form
    852.33/1,175.81 = 741.63/x
  3. Step 3: Cross multiply
    852.33x = 1,175.81 × 741.63
  4. Step 4: Simplify right side
    852.33x = 872,012.26
  5. Step 5: Solve for x
    x = 872,012.26/852.33
  6. Step 6: Final answer
    x = 1,023.09

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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.