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Finding the Fourth Proportional to 823.54, 1,233.46 and 577.84

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Solution

The fourth proportional to 823.54, 1,233.46 and 577.84 is: 865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.54 : 1,233.46 = 577.84 : x
  2. Step 2: Convert to fraction form
    823.54/1,233.46 = 577.84/x
  3. Step 3: Cross multiply
    823.54x = 1,233.46 × 577.84
  4. Step 4: Simplify right side
    823.54x = 712,740.36
  5. Step 5: Solve for x
    x = 712,740.36/823.54
  6. Step 6: Final answer
    x = 865.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.