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Finding the Fourth Proportional to 823.33, 1,135.89 and 543.70

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Solution

The fourth proportional to 823.33, 1,135.89 and 543.70 is: 750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.33 : 1,135.89 = 543.70 : x
  2. Step 2: Convert to fraction form
    823.33/1,135.89 = 543.70/x
  3. Step 3: Cross multiply
    823.33x = 1,135.89 × 543.70
  4. Step 4: Simplify right side
    823.33x = 617,583.39
  5. Step 5: Solve for x
    x = 617,583.39/823.33
  6. Step 6: Final answer
    x = 750.10

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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.