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Finding the Fourth Proportional to 756.96, 1,044.36 and 446.16

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Solution

The fourth proportional to 756.96, 1,044.36 and 446.16 is: 615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.96 : 1,044.36 = 446.16 : x
  2. Step 2: Convert to fraction form
    756.96/1,044.36 = 446.16/x
  3. Step 3: Cross multiply
    756.96x = 1,044.36 × 446.16
  4. Step 4: Simplify right side
    756.96x = 465,951.66
  5. Step 5: Solve for x
    x = 465,951.66/756.96
  6. Step 6: Final answer
    x = 615.56

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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.