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Finding the Fourth Proportional to 689.10, 1,033.98 and 429.03

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Solution

The fourth proportional to 689.10, 1,033.98 and 429.03 is: 643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.10 : 1,033.98 = 429.03 : x
  2. Step 2: Convert to fraction form
    689.10/1,033.98 = 429.03/x
  3. Step 3: Cross multiply
    689.10x = 1,033.98 × 429.03
  4. Step 4: Simplify right side
    689.10x = 443,608.44
  5. Step 5: Solve for x
    x = 443,608.44/689.10
  6. Step 6: Final answer
    x = 643.75

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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.