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Finding the Fourth Proportional to 1,032.88, 1,549.83 and 484.99

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Solution

The fourth proportional to 1,032.88, 1,549.83 and 484.99 is: 727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.88 : 1,549.83 = 484.99 : x
  2. Step 2: Convert to fraction form
    1,032.88/1,549.83 = 484.99/x
  3. Step 3: Cross multiply
    1,032.88x = 1,549.83 × 484.99
  4. Step 4: Simplify right side
    1,032.88x = 751,652.05
  5. Step 5: Solve for x
    x = 751,652.05/1,032.88
  6. Step 6: Final answer
    x = 727.72

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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.