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Finding the Fourth Proportional to 1,527.12, 2,288.79 and 552.15

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Solution

The fourth proportional to 1,527.12, 2,288.79 and 552.15 is: 827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.12 : 2,288.79 = 552.15 : x
  2. Step 2: Convert to fraction form
    1,527.12/2,288.79 = 552.15/x
  3. Step 3: Cross multiply
    1,527.12x = 2,288.79 × 552.15
  4. Step 4: Simplify right side
    1,527.12x = 1,263,755.40
  5. Step 5: Solve for x
    x = 1,263,755.40/1,527.12
  6. Step 6: Final answer
    x = 827.54

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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.