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Finding the Fourth Proportional to 1,406.56, 2,109.15 and 529.21

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Solution

The fourth proportional to 1,406.56, 2,109.15 and 529.21 is: 793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.56 : 2,109.15 = 529.21 : x
  2. Step 2: Convert to fraction form
    1,406.56/2,109.15 = 529.21/x
  3. Step 3: Cross multiply
    1,406.56x = 2,109.15 × 529.21
  4. Step 4: Simplify right side
    1,406.56x = 1,116,183.27
  5. Step 5: Solve for x
    x = 1,116,183.27/1,406.56
  6. Step 6: Final answer
    x = 793.56

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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.