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Finding the Fourth Proportional to 811.70, 1,216 and 536.98

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Solution

The fourth proportional to 811.70, 1,216 and 536.98 is: 804.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.70 : 1,216 = 536.98 : x
  2. Step 2: Convert to fraction form
    811.70/1,216 = 536.98/x
  3. Step 3: Cross multiply
    811.70x = 1,216 × 536.98
  4. Step 4: Simplify right side
    811.70x = 652,967.68
  5. Step 5: Solve for x
    x = 652,967.68/811.70
  6. Step 6: Final answer
    x = 804.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.