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Finding the Fourth Proportional to 756.72, 1,044.72 and 712.98

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Solution

The fourth proportional to 756.72, 1,044.72 and 712.98 is: 984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.72 : 1,044.72 = 712.98 : x
  2. Step 2: Convert to fraction form
    756.72/1,044.72 = 712.98/x
  3. Step 3: Cross multiply
    756.72x = 1,044.72 × 712.98
  4. Step 4: Simplify right side
    756.72x = 744,864.47
  5. Step 5: Solve for x
    x = 744,864.47/756.72
  6. Step 6: Final answer
    x = 984.33

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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.