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Finding the Fourth Proportional to 756, 1,044 and 548.64

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Solution

The fourth proportional to 756, 1,044 and 548.64 is: 757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    756 : 1,044 = 548.64 : x
  2. Step 2: Convert to fraction form
    756/1,044 = 548.64/x
  3. Step 3: Cross multiply
    756x = 1,044 × 548.64
  4. Step 4: Simplify right side
    756x = 572,780.16
  5. Step 5: Solve for x
    x = 572,780.16/756
  6. Step 6: Final answer
    x = 757.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.