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Finding the Fourth Proportional to 722.16, 996.86 and 547.92

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Solution

The fourth proportional to 722.16, 996.86 and 547.92 is: 756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.16 : 996.86 = 547.92 : x
  2. Step 2: Convert to fraction form
    722.16/996.86 = 547.92/x
  3. Step 3: Cross multiply
    722.16x = 996.86 × 547.92
  4. Step 4: Simplify right side
    722.16x = 546,199.53
  5. Step 5: Solve for x
    x = 546,199.53/722.16
  6. Step 6: Final answer
    x = 756.34

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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.