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Finding the Fourth Proportional to 689.01, 1,031.94 and 414.50

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Solution

The fourth proportional to 689.01, 1,031.94 and 414.50 is: 620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.01 : 1,031.94 = 414.50 : x
  2. Step 2: Convert to fraction form
    689.01/1,031.94 = 414.50/x
  3. Step 3: Cross multiply
    689.01x = 1,031.94 × 414.50
  4. Step 4: Simplify right side
    689.01x = 427,733.97
  5. Step 5: Solve for x
    x = 427,733.97/689.01
  6. Step 6: Final answer
    x = 620.80

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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.