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Finding the Fourth Proportional to 1,051.27, 1,577.22 and 320.92

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Solution

The fourth proportional to 1,051.27, 1,577.22 and 320.92 is: 481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.27 : 1,577.22 = 320.92 : x
  2. Step 2: Convert to fraction form
    1,051.27/1,577.22 = 320.92/x
  3. Step 3: Cross multiply
    1,051.27x = 1,577.22 × 320.92
  4. Step 4: Simplify right side
    1,051.27x = 506,161.44
  5. Step 5: Solve for x
    x = 506,161.44/1,051.27
  6. Step 6: Final answer
    x = 481.48

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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.