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Finding the Fourth Proportional to 811.14, 1,118.81 and 562.53

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Solution

The fourth proportional to 811.14, 1,118.81 and 562.53 is: 775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.14 : 1,118.81 = 562.53 : x
  2. Step 2: Convert to fraction form
    811.14/1,118.81 = 562.53/x
  3. Step 3: Cross multiply
    811.14x = 1,118.81 × 562.53
  4. Step 4: Simplify right side
    811.14x = 629,361.38
  5. Step 5: Solve for x
    x = 629,361.38/811.14
  6. Step 6: Final answer
    x = 775.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.