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Finding the Fourth Proportional to 823.96, 1,136.70 and 543.84

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Solution

The fourth proportional to 823.96, 1,136.70 and 543.84 is: 750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.96 : 1,136.70 = 543.84 : x
  2. Step 2: Convert to fraction form
    823.96/1,136.70 = 543.84/x
  3. Step 3: Cross multiply
    823.96x = 1,136.70 × 543.84
  4. Step 4: Simplify right side
    823.96x = 618,182.93
  5. Step 5: Solve for x
    x = 618,182.93/823.96
  6. Step 6: Final answer
    x = 750.26

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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.