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Finding the Fourth Proportional to 1,288.59, 1,933.38 and 548.37

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Solution

The fourth proportional to 1,288.59, 1,933.38 and 548.37 is: 822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.59 : 1,933.38 = 548.37 : x
  2. Step 2: Convert to fraction form
    1,288.59/1,933.38 = 548.37/x
  3. Step 3: Cross multiply
    1,288.59x = 1,933.38 × 548.37
  4. Step 4: Simplify right side
    1,288.59x = 1,060,207.59
  5. Step 5: Solve for x
    x = 1,060,207.59/1,288.59
  6. Step 6: Final answer
    x = 822.77

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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.