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Finding the Fourth Proportional to 1,051.73, 1,577.74 and 321.21

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Solution

The fourth proportional to 1,051.73, 1,577.74 and 321.21 is: 481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.73 : 1,577.74 = 321.21 : x
  2. Step 2: Convert to fraction form
    1,051.73/1,577.74 = 321.21/x
  3. Step 3: Cross multiply
    1,051.73x = 1,577.74 × 321.21
  4. Step 4: Simplify right side
    1,051.73x = 506,783.91
  5. Step 5: Solve for x
    x = 506,783.91/1,051.73
  6. Step 6: Final answer
    x = 481.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.