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Finding the Fourth Proportional to 656.72, 905.64 and 577.52

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Solution

The fourth proportional to 656.72, 905.64 and 577.52 is: 796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.72 : 905.64 = 577.52 : x
  2. Step 2: Convert to fraction form
    656.72/905.64 = 577.52/x
  3. Step 3: Cross multiply
    656.72x = 905.64 × 577.52
  4. Step 4: Simplify right side
    656.72x = 523,025.21
  5. Step 5: Solve for x
    x = 523,025.21/656.72
  6. Step 6: Final answer
    x = 796.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.