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Finding the Fourth Proportional to 756.21, 1,134.93 and 391.11

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Solution

The fourth proportional to 756.21, 1,134.93 and 391.11 is: 586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.21 : 1,134.93 = 391.11 : x
  2. Step 2: Convert to fraction form
    756.21/1,134.93 = 391.11/x
  3. Step 3: Cross multiply
    756.21x = 1,134.93 × 391.11
  4. Step 4: Simplify right side
    756.21x = 443,879.68
  5. Step 5: Solve for x
    x = 443,879.68/756.21
  6. Step 6: Final answer
    x = 586.98

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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.