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Finding the Fourth Proportional to 756.35, 1,044.08 and 441.91

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Solution

The fourth proportional to 756.35, 1,044.08 and 441.91 is: 610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.35 : 1,044.08 = 441.91 : x
  2. Step 2: Convert to fraction form
    756.35/1,044.08 = 441.91/x
  3. Step 3: Cross multiply
    756.35x = 1,044.08 × 441.91
  4. Step 4: Simplify right side
    756.35x = 461,389.39
  5. Step 5: Solve for x
    x = 461,389.39/756.35
  6. Step 6: Final answer
    x = 610.02

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