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Finding the Fourth Proportional to 823.54, 1,135.96 and 574.76

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Solution

The fourth proportional to 823.54, 1,135.96 and 574.76 is: 792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.54 : 1,135.96 = 574.76 : x
  2. Step 2: Convert to fraction form
    823.54/1,135.96 = 574.76/x
  3. Step 3: Cross multiply
    823.54x = 1,135.96 × 574.76
  4. Step 4: Simplify right side
    823.54x = 652,905.77
  5. Step 5: Solve for x
    x = 652,905.77/823.54
  6. Step 6: Final answer
    x = 792.81

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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.