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Finding the Fourth Proportional to 722.64, 996.95 and 534.03

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Solution

The fourth proportional to 722.64, 996.95 and 534.03 is: 736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.64 : 996.95 = 534.03 : x
  2. Step 2: Convert to fraction form
    722.64/996.95 = 534.03/x
  3. Step 3: Cross multiply
    722.64x = 996.95 × 534.03
  4. Step 4: Simplify right side
    722.64x = 532,401.41
  5. Step 5: Solve for x
    x = 532,401.41/722.64
  6. Step 6: Final answer
    x = 736.75

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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.