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Finding the Fourth Proportional to 1,527.28, 2,289.12 and 552.64

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Solution

The fourth proportional to 1,527.28, 2,289.12 and 552.64 is: 828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.28 : 2,289.12 = 552.64 : x
  2. Step 2: Convert to fraction form
    1,527.28/2,289.12 = 552.64/x
  3. Step 3: Cross multiply
    1,527.28x = 2,289.12 × 552.64
  4. Step 4: Simplify right side
    1,527.28x = 1,265,059.28
  5. Step 5: Solve for x
    x = 1,265,059.28/1,527.28
  6. Step 6: Final answer
    x = 828.31

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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.