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Finding the Fourth Proportional to 1,051.83, 1,577.29 and 321.24

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Solution

The fourth proportional to 1,051.83, 1,577.29 and 321.24 is: 481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.83 : 1,577.29 = 321.24 : x
  2. Step 2: Convert to fraction form
    1,051.83/1,577.29 = 321.24/x
  3. Step 3: Cross multiply
    1,051.83x = 1,577.29 × 321.24
  4. Step 4: Simplify right side
    1,051.83x = 506,688.64
  5. Step 5: Solve for x
    x = 506,688.64/1,051.83
  6. Step 6: Final answer
    x = 481.72

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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.