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Finding the Fourth Proportional to 829.12, 1,242 and 584.56

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Solution

The fourth proportional to 829.12, 1,242 and 584.56 is: 875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.12 : 1,242 = 584.56 : x
  2. Step 2: Convert to fraction form
    829.12/1,242 = 584.56/x
  3. Step 3: Cross multiply
    829.12x = 1,242 × 584.56
  4. Step 4: Simplify right side
    829.12x = 726,023.52
  5. Step 5: Solve for x
    x = 726,023.52/829.12
  6. Step 6: Final answer
    x = 875.66

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