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Finding the Fourth Proportional to 758.44, 1,137.05 and 325.90

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Solution

The fourth proportional to 758.44, 1,137.05 and 325.90 is: 488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.44 : 1,137.05 = 325.90 : x
  2. Step 2: Convert to fraction form
    758.44/1,137.05 = 325.90/x
  3. Step 3: Cross multiply
    758.44x = 1,137.05 × 325.90
  4. Step 4: Simplify right side
    758.44x = 370,560.12
  5. Step 5: Solve for x
    x = 370,560.12/758.44
  6. Step 6: Final answer
    x = 488.58

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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.