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Finding the Fourth Proportional to 757.35, 1,135.62 and 346.02

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Solution

The fourth proportional to 757.35, 1,135.62 and 346.02 is: 518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.35 : 1,135.62 = 346.02 : x
  2. Step 2: Convert to fraction form
    757.35/1,135.62 = 346.02/x
  3. Step 3: Cross multiply
    757.35x = 1,135.62 × 346.02
  4. Step 4: Simplify right side
    757.35x = 392,949.36
  5. Step 5: Solve for x
    x = 392,949.36/757.35
  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.