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Finding the Fourth Proportional to 712.99, 1,069.46 and 301.86

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Solution

The fourth proportional to 712.99, 1,069.46 and 301.86 is: 452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.99 : 1,069.46 = 301.86 : x
  2. Step 2: Convert to fraction form
    712.99/1,069.46 = 301.86/x
  3. Step 3: Cross multiply
    712.99x = 1,069.46 × 301.86
  4. Step 4: Simplify right side
    712.99x = 322,825.69
  5. Step 5: Solve for x
    x = 322,825.69/712.99
  6. Step 6: Final answer
    x = 452.78

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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.