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Finding the Fourth Proportional to 689.85, 1,034.73 and 257.04

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Solution

The fourth proportional to 689.85, 1,034.73 and 257.04 is: 385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.85 : 1,034.73 = 257.04 : x
  2. Step 2: Convert to fraction form
    689.85/1,034.73 = 257.04/x
  3. Step 3: Cross multiply
    689.85x = 1,034.73 × 257.04
  4. Step 4: Simplify right side
    689.85x = 265,967.00
  5. Step 5: Solve for x
    x = 265,967.00/689.85
  6. Step 6: Final answer
    x = 385.54

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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.