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Finding the Fourth Proportional to 1,051.37, 1,577.22 and 320.88

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Solution

The fourth proportional to 1,051.37, 1,577.22 and 320.88 is: 481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.37 : 1,577.22 = 320.88 : x
  2. Step 2: Convert to fraction form
    1,051.37/1,577.22 = 320.88/x
  3. Step 3: Cross multiply
    1,051.37x = 1,577.22 × 320.88
  4. Step 4: Simplify right side
    1,051.37x = 506,098.35
  5. Step 5: Solve for x
    x = 506,098.35/1,051.37
  6. Step 6: Final answer
    x = 481.37

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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.