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Finding the Fourth Proportional to 722.50, 996.78 and 536.30

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Solution

The fourth proportional to 722.50, 996.78 and 536.30 is: 739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.50 : 996.78 = 536.30 : x
  2. Step 2: Convert to fraction form
    722.50/996.78 = 536.30/x
  3. Step 3: Cross multiply
    722.50x = 996.78 × 536.30
  4. Step 4: Simplify right side
    722.50x = 534,573.11
  5. Step 5: Solve for x
    x = 534,573.11/722.50
  6. Step 6: Final answer
    x = 739.89

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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.