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Finding the Fourth Proportional to 711, 1,063.62 and 420.84

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Solution

The fourth proportional to 711, 1,063.62 and 420.84 is: 629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    711 : 1,063.62 = 420.84 : x
  2. Step 2: Convert to fraction form
    711/1,063.62 = 420.84/x
  3. Step 3: Cross multiply
    711x = 1,063.62 × 420.84
  4. Step 4: Simplify right side
    711x = 447,613.84
  5. Step 5: Solve for x
    x = 447,613.84/711
  6. Step 6: Final answer
    x = 629.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.