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Finding the Fourth Proportional to 689.56, 1,033.72 and 364.54

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Solution

The fourth proportional to 689.56, 1,033.72 and 364.54 is: 546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.56 : 1,033.72 = 364.54 : x
  2. Step 2: Convert to fraction form
    689.56/1,033.72 = 364.54/x
  3. Step 3: Cross multiply
    689.56x = 1,033.72 × 364.54
  4. Step 4: Simplify right side
    689.56x = 376,832.29
  5. Step 5: Solve for x
    x = 376,832.29/689.56
  6. Step 6: Final answer
    x = 546.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.