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Finding the Fourth Proportional to 689.66, 1,034.64 and 256.82

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Solution

The fourth proportional to 689.66, 1,034.64 and 256.82 is: 385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.66 : 1,034.64 = 256.82 : x
  2. Step 2: Convert to fraction form
    689.66/1,034.64 = 256.82/x
  3. Step 3: Cross multiply
    689.66x = 1,034.64 × 256.82
  4. Step 4: Simplify right side
    689.66x = 265,716.24
  5. Step 5: Solve for x
    x = 265,716.24/689.66
  6. Step 6: Final answer
    x = 385.29

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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.