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Finding the Fourth Proportional to 771.80, 1,158.02 and 406.91

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Solution

The fourth proportional to 771.80, 1,158.02 and 406.91 is: 610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.80 : 1,158.02 = 406.91 : x
  2. Step 2: Convert to fraction form
    771.80/1,158.02 = 406.91/x
  3. Step 3: Cross multiply
    771.80x = 1,158.02 × 406.91
  4. Step 4: Simplify right side
    771.80x = 471,209.92
  5. Step 5: Solve for x
    x = 471,209.92/771.80
  6. Step 6: Final answer
    x = 610.53

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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.