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Finding the Fourth Proportional to 689.43, 1,033.54 and 256.28

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Solution

The fourth proportional to 689.43, 1,033.54 and 256.28 is: 384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.43 : 1,033.54 = 256.28 : x
  2. Step 2: Convert to fraction form
    689.43/1,033.54 = 256.28/x
  3. Step 3: Cross multiply
    689.43x = 1,033.54 × 256.28
  4. Step 4: Simplify right side
    689.43x = 264,874.35
  5. Step 5: Solve for x
    x = 264,874.35/689.43
  6. Step 6: Final answer
    x = 384.19

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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.