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Finding the Fourth Proportional to 758.57, 1,137.06 and 388.62

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Solution

The fourth proportional to 758.57, 1,137.06 and 388.62 is: 582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.57 : 1,137.06 = 388.62 : x
  2. Step 2: Convert to fraction form
    758.57/1,137.06 = 388.62/x
  3. Step 3: Cross multiply
    758.57x = 1,137.06 × 388.62
  4. Step 4: Simplify right side
    758.57x = 441,884.26
  5. Step 5: Solve for x
    x = 441,884.26/758.57
  6. Step 6: Final answer
    x = 582.53

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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.