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Finding the Fourth Proportional to 1,051.70, 1,577.57 and 321.27

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Solution

The fourth proportional to 1,051.70, 1,577.57 and 321.27 is: 481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.70 : 1,577.57 = 321.27 : x
  2. Step 2: Convert to fraction form
    1,051.70/1,577.57 = 321.27/x
  3. Step 3: Cross multiply
    1,051.70x = 1,577.57 × 321.27
  4. Step 4: Simplify right side
    1,051.70x = 506,824.31
  5. Step 5: Solve for x
    x = 506,824.31/1,051.70
  6. Step 6: Final answer
    x = 481.91

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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.