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Finding the Fourth Proportional to 689.26, 1,032.84 and 415.04

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Solution

The fourth proportional to 689.26, 1,032.84 and 415.04 is: 621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.26 : 1,032.84 = 415.04 : x
  2. Step 2: Convert to fraction form
    689.26/1,032.84 = 415.04/x
  3. Step 3: Cross multiply
    689.26x = 1,032.84 × 415.04
  4. Step 4: Simplify right side
    689.26x = 428,669.91
  5. Step 5: Solve for x
    x = 428,669.91/689.26
  6. Step 6: Final answer
    x = 621.93

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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.