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Finding the Fourth Proportional to 1,459.28, 2,189.28 and 485.40

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Solution

The fourth proportional to 1,459.28, 2,189.28 and 485.40 is: 728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.28 : 2,189.28 = 485.40 : x
  2. Step 2: Convert to fraction form
    1,459.28/2,189.28 = 485.40/x
  3. Step 3: Cross multiply
    1,459.28x = 2,189.28 × 485.40
  4. Step 4: Simplify right side
    1,459.28x = 1,062,676.51
  5. Step 5: Solve for x
    x = 1,062,676.51/1,459.28
  6. Step 6: Final answer
    x = 728.22

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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.