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Finding the Fourth Proportional to 722.65, 997.49 and 536.08

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Solution

The fourth proportional to 722.65, 997.49 and 536.08 is: 739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.65 : 997.49 = 536.08 : x
  2. Step 2: Convert to fraction form
    722.65/997.49 = 536.08/x
  3. Step 3: Cross multiply
    722.65x = 997.49 × 536.08
  4. Step 4: Simplify right side
    722.65x = 534,734.44
  5. Step 5: Solve for x
    x = 534,734.44/722.65
  6. Step 6: Final answer
    x = 739.96

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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.