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Finding the Fourth Proportional to 689.51, 1,033.22 and 415.29

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Solution

The fourth proportional to 689.51, 1,033.22 and 415.29 is: 622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.51 : 1,033.22 = 415.29 : x
  2. Step 2: Convert to fraction form
    689.51/1,033.22 = 415.29/x
  3. Step 3: Cross multiply
    689.51x = 1,033.22 × 415.29
  4. Step 4: Simplify right side
    689.51x = 429,083.86
  5. Step 5: Solve for x
    x = 429,083.86/689.51
  6. Step 6: Final answer
    x = 622.31

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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.