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Finding the Fourth Proportional to 1,577.27, 2,365.81 and 481.55

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Solution

The fourth proportional to 1,577.27, 2,365.81 and 481.55 is: 722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.27 : 2,365.81 = 481.55 : x
  2. Step 2: Convert to fraction form
    1,577.27/2,365.81 = 481.55/x
  3. Step 3: Cross multiply
    1,577.27x = 2,365.81 × 481.55
  4. Step 4: Simplify right side
    1,577.27x = 1,139,242.77
  5. Step 5: Solve for x
    x = 1,139,242.77/1,577.27
  6. Step 6: Final answer
    x = 722.29

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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.