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Finding the Fourth Proportional to 771.17, 1,154.91 and 596.21

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Solution

The fourth proportional to 771.17, 1,154.91 and 596.21 is: 892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.17 : 1,154.91 = 596.21 : x
  2. Step 2: Convert to fraction form
    771.17/1,154.91 = 596.21/x
  3. Step 3: Cross multiply
    771.17x = 1,154.91 × 596.21
  4. Step 4: Simplify right side
    771.17x = 688,563.12
  5. Step 5: Solve for x
    x = 688,563.12/771.17
  6. Step 6: Final answer
    x = 892.89

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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.