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Finding the Fourth Proportional to 754.32, 1,131.86 and 364.65

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Solution

The fourth proportional to 754.32, 1,131.86 and 364.65 is: 547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.32 : 1,131.86 = 364.65 : x
  2. Step 2: Convert to fraction form
    754.32/1,131.86 = 364.65/x
  3. Step 3: Cross multiply
    754.32x = 1,131.86 × 364.65
  4. Step 4: Simplify right side
    754.32x = 412,732.75
  5. Step 5: Solve for x
    x = 412,732.75/754.32
  6. Step 6: Final answer
    x = 547.16

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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.