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Finding the Fourth Proportional to 771.02, 1,154.64 and 539.12

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Solution

The fourth proportional to 771.02, 1,154.64 and 539.12 is: 807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.02 : 1,154.64 = 539.12 : x
  2. Step 2: Convert to fraction form
    771.02/1,154.64 = 539.12/x
  3. Step 3: Cross multiply
    771.02x = 1,154.64 × 539.12
  4. Step 4: Simplify right side
    771.02x = 622,489.52
  5. Step 5: Solve for x
    x = 622,489.52/771.02
  6. Step 6: Final answer
    x = 807.36

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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.