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Finding the Fourth Proportional to 822.96, 1,136.30 and 528.39

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Solution

The fourth proportional to 822.96, 1,136.30 and 528.39 is: 729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.96 : 1,136.30 = 528.39 : x
  2. Step 2: Convert to fraction form
    822.96/1,136.30 = 528.39/x
  3. Step 3: Cross multiply
    822.96x = 1,136.30 × 528.39
  4. Step 4: Simplify right side
    822.96x = 600,406.92
  5. Step 5: Solve for x
    x = 600,406.92/822.96
  6. Step 6: Final answer
    x = 729.57

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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.