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Finding the Fourth Proportional to 757.24, 1,137.89 and 410.83

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Solution

The fourth proportional to 757.24, 1,137.89 and 410.83 is: 617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.24 : 1,137.89 = 410.83 : x
  2. Step 2: Convert to fraction form
    757.24/1,137.89 = 410.83/x
  3. Step 3: Cross multiply
    757.24x = 1,137.89 × 410.83
  4. Step 4: Simplify right side
    757.24x = 467,479.35
  5. Step 5: Solve for x
    x = 467,479.35/757.24
  6. Step 6: Final answer
    x = 617.35

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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.