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Finding the Fourth Proportional to 771.23, 1,156.95 and 406.05

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Solution

The fourth proportional to 771.23, 1,156.95 and 406.05 is: 609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.23 : 1,156.95 = 406.05 : x
  2. Step 2: Convert to fraction form
    771.23/1,156.95 = 406.05/x
  3. Step 3: Cross multiply
    771.23x = 1,156.95 × 406.05
  4. Step 4: Simplify right side
    771.23x = 469,775.21
  5. Step 5: Solve for x
    x = 469,775.21/771.23
  6. Step 6: Final answer
    x = 609.12

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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.