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Finding the Fourth Proportional to 1,033.20, 1,548.48 and 484.17

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Solution

The fourth proportional to 1,033.20, 1,548.48 and 484.17 is: 725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.20 : 1,548.48 = 484.17 : x
  2. Step 2: Convert to fraction form
    1,033.20/1,548.48 = 484.17/x
  3. Step 3: Cross multiply
    1,033.20x = 1,548.48 × 484.17
  4. Step 4: Simplify right side
    1,033.20x = 749,735.18
  5. Step 5: Solve for x
    x = 749,735.18/1,033.20
  6. Step 6: Final answer
    x = 725.64

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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.