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Finding the Fourth Proportional to 816.81, 1,126.94 and 522.26

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Solution

The fourth proportional to 816.81, 1,126.94 and 522.26 is: 720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.81 : 1,126.94 = 522.26 : x
  2. Step 2: Convert to fraction form
    816.81/1,126.94 = 522.26/x
  3. Step 3: Cross multiply
    816.81x = 1,126.94 × 522.26
  4. Step 4: Simplify right side
    816.81x = 588,547.44
  5. Step 5: Solve for x
    x = 588,547.44/816.81
  6. Step 6: Final answer
    x = 720.54

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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.