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Finding the Fourth Proportional to 770.44, 1,063.68 and 604.25

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Solution

The fourth proportional to 770.44, 1,063.68 and 604.25 is: 834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.44 : 1,063.68 = 604.25 : x
  2. Step 2: Convert to fraction form
    770.44/1,063.68 = 604.25/x
  3. Step 3: Cross multiply
    770.44x = 1,063.68 × 604.25
  4. Step 4: Simplify right side
    770.44x = 642,731.30
  5. Step 5: Solve for x
    x = 642,731.30/770.44
  6. Step 6: Final answer
    x = 834.24

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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.