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Finding the Fourth Proportional to 689.16, 1,032.84 and 415.35

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Solution

The fourth proportional to 689.16, 1,032.84 and 415.35 is: 622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.16 : 1,032.84 = 415.35 : x
  2. Step 2: Convert to fraction form
    689.16/1,032.84 = 415.35/x
  3. Step 3: Cross multiply
    689.16x = 1,032.84 × 415.35
  4. Step 4: Simplify right side
    689.16x = 428,990.09
  5. Step 5: Solve for x
    x = 428,990.09/689.16
  6. Step 6: Final answer
    x = 622.48

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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.