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Finding the Fourth Proportional to 851.21, 1,175.44 and 537.03

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Solution

The fourth proportional to 851.21, 1,175.44 and 537.03 is: 741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.21 : 1,175.44 = 537.03 : x
  2. Step 2: Convert to fraction form
    851.21/1,175.44 = 537.03/x
  3. Step 3: Cross multiply
    851.21x = 1,175.44 × 537.03
  4. Step 4: Simplify right side
    851.21x = 631,244.70
  5. Step 5: Solve for x
    x = 631,244.70/851.21
  6. Step 6: Final answer
    x = 741.59

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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.