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Finding the Fourth Proportional to 689.25, 1,033.98 and 256.38

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Solution

The fourth proportional to 689.25, 1,033.98 and 256.38 is: 384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.25 : 1,033.98 = 256.38 : x
  2. Step 2: Convert to fraction form
    689.25/1,033.98 = 256.38/x
  3. Step 3: Cross multiply
    689.25x = 1,033.98 × 256.38
  4. Step 4: Simplify right side
    689.25x = 265,091.79
  5. Step 5: Solve for x
    x = 265,091.79/689.25
  6. Step 6: Final answer
    x = 384.61

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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.