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Finding the Fourth Proportional to 689.54, 951.44 and 558.32

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Solution

The fourth proportional to 689.54, 951.44 and 558.32 is: 770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.54 : 951.44 = 558.32 : x
  2. Step 2: Convert to fraction form
    689.54/951.44 = 558.32/x
  3. Step 3: Cross multiply
    689.54x = 951.44 × 558.32
  4. Step 4: Simplify right side
    689.54x = 531,207.98
  5. Step 5: Solve for x
    x = 531,207.98/689.54
  6. Step 6: Final answer
    x = 770.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.