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Finding the Fourth Proportional to 757.38, 1,135.16 and 346.18

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Solution

The fourth proportional to 757.38, 1,135.16 and 346.18 is: 518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.38 : 1,135.16 = 346.18 : x
  2. Step 2: Convert to fraction form
    757.38/1,135.16 = 346.18/x
  3. Step 3: Cross multiply
    757.38x = 1,135.16 × 346.18
  4. Step 4: Simplify right side
    757.38x = 392,969.69
  5. Step 5: Solve for x
    x = 392,969.69/757.38
  6. Step 6: Final answer
    x = 518.85

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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.