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Finding the Fourth Proportional to 1,459.11, 2,188.79 and 485.31

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Solution

The fourth proportional to 1,459.11, 2,188.79 and 485.31 is: 728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.11 : 2,188.79 = 485.31 : x
  2. Step 2: Convert to fraction form
    1,459.11/2,188.79 = 485.31/x
  3. Step 3: Cross multiply
    1,459.11x = 2,188.79 × 485.31
  4. Step 4: Simplify right side
    1,459.11x = 1,062,241.67
  5. Step 5: Solve for x
    x = 1,062,241.67/1,459.11
  6. Step 6: Final answer
    x = 728.01

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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.