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Finding the Fourth Proportional to 770.45, 1,063.14 and 451.37

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Solution

The fourth proportional to 770.45, 1,063.14 and 451.37 is: 622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.45 : 1,063.14 = 451.37 : x
  2. Step 2: Convert to fraction form
    770.45/1,063.14 = 451.37/x
  3. Step 3: Cross multiply
    770.45x = 1,063.14 × 451.37
  4. Step 4: Simplify right side
    770.45x = 479,869.50
  5. Step 5: Solve for x
    x = 479,869.50/770.45
  6. Step 6: Final answer
    x = 622.84

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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.