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Finding the Fourth Proportional to 1,051.40, 1,577.43 and 321.12

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Solution

The fourth proportional to 1,051.40, 1,577.43 and 321.12 is: 481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.40 : 1,577.43 = 321.12 : x
  2. Step 2: Convert to fraction form
    1,051.40/1,577.43 = 321.12/x
  3. Step 3: Cross multiply
    1,051.40x = 1,577.43 × 321.12
  4. Step 4: Simplify right side
    1,051.40x = 506,544.32
  5. Step 5: Solve for x
    x = 506,544.32/1,051.40
  6. Step 6: Final answer
    x = 481.78

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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.