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Finding the Fourth Proportional to 562.05, 843.27 and 511.02

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Solution

The fourth proportional to 562.05, 843.27 and 511.02 is: 766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.05 : 843.27 = 511.02 : x
  2. Step 2: Convert to fraction form
    562.05/843.27 = 511.02/x
  3. Step 3: Cross multiply
    562.05x = 843.27 × 511.02
  4. Step 4: Simplify right side
    562.05x = 430,927.84
  5. Step 5: Solve for x
    x = 430,927.84/562.05
  6. Step 6: Final answer
    x = 766.71

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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.