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Finding the Fourth Proportional to 1,459.24, 2,189.16 and 485.32

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Solution

The fourth proportional to 1,459.24, 2,189.16 and 485.32 is: 728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.24 : 2,189.16 = 485.32 : x
  2. Step 2: Convert to fraction form
    1,459.24/2,189.16 = 485.32/x
  3. Step 3: Cross multiply
    1,459.24x = 2,189.16 × 485.32
  4. Step 4: Simplify right side
    1,459.24x = 1,062,443.13
  5. Step 5: Solve for x
    x = 1,062,443.13/1,459.24
  6. Step 6: Final answer
    x = 728.08

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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.