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Finding the Fourth Proportional to 754.44, 1,129.23 and 570.57

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Solution

The fourth proportional to 754.44, 1,129.23 and 570.57 is: 854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.44 : 1,129.23 = 570.57 : x
  2. Step 2: Convert to fraction form
    754.44/1,129.23 = 570.57/x
  3. Step 3: Cross multiply
    754.44x = 1,129.23 × 570.57
  4. Step 4: Simplify right side
    754.44x = 644,304.76
  5. Step 5: Solve for x
    x = 644,304.76/754.44
  6. Step 6: Final answer
    x = 854.02

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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.