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Finding the Fourth Proportional to 822.74, 1,135.41 and 543.22

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Solution

The fourth proportional to 822.74, 1,135.41 and 543.22 is: 749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.74 : 1,135.41 = 543.22 : x
  2. Step 2: Convert to fraction form
    822.74/1,135.41 = 543.22/x
  3. Step 3: Cross multiply
    822.74x = 1,135.41 × 543.22
  4. Step 4: Simplify right side
    822.74x = 616,777.42
  5. Step 5: Solve for x
    x = 616,777.42/822.74
  6. Step 6: Final answer
    x = 749.66

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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.