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Finding the Fourth Proportional to 757.45, 1,134.59 and 346.94

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Solution

The fourth proportional to 757.45, 1,134.59 and 346.94 is: 519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.45 : 1,134.59 = 346.94 : x
  2. Step 2: Convert to fraction form
    757.45/1,134.59 = 346.94/x
  3. Step 3: Cross multiply
    757.45x = 1,134.59 × 346.94
  4. Step 4: Simplify right side
    757.45x = 393,634.65
  5. Step 5: Solve for x
    x = 393,634.65/757.45
  6. Step 6: Final answer
    x = 519.68

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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.