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Finding the Fourth Proportional to 1,527.12, 2,287.44 and 756

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Solution

The fourth proportional to 1,527.12, 2,287.44 and 756 is: 1,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.12 : 2,287.44 = 756 : x
  2. Step 2: Convert to fraction form
    1,527.12/2,287.44 = 756/x
  3. Step 3: Cross multiply
    1,527.12x = 2,287.44 × 756
  4. Step 4: Simplify right side
    1,527.12x = 1,729,304.64
  5. Step 5: Solve for x
    x = 1,729,304.64/1,527.12
  6. Step 6: Final answer
    x = 1,132.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.