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Finding the Fourth Proportional to 770.75, 1,063.64 and 421.43

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Solution

The fourth proportional to 770.75, 1,063.64 and 421.43 is: 581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.75 : 1,063.64 = 421.43 : x
  2. Step 2: Convert to fraction form
    770.75/1,063.64 = 421.43/x
  3. Step 3: Cross multiply
    770.75x = 1,063.64 × 421.43
  4. Step 4: Simplify right side
    770.75x = 448,249.81
  5. Step 5: Solve for x
    x = 448,249.81/770.75
  6. Step 6: Final answer
    x = 581.58

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