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Finding the Fourth Proportional to 823.03, 1,135.46 and 543.41

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Solution

The fourth proportional to 823.03, 1,135.46 and 543.41 is: 749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.03 : 1,135.46 = 543.41 : x
  2. Step 2: Convert to fraction form
    823.03/1,135.46 = 543.41/x
  3. Step 3: Cross multiply
    823.03x = 1,135.46 × 543.41
  4. Step 4: Simplify right side
    823.03x = 617,020.32
  5. Step 5: Solve for x
    x = 617,020.32/823.03
  6. Step 6: Final answer
    x = 749.69

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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.