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Finding the Fourth Proportional to 924.35, 1,383.21 and 533.25

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Solution

The fourth proportional to 924.35, 1,383.21 and 533.25 is: 797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.35 : 1,383.21 = 533.25 : x
  2. Step 2: Convert to fraction form
    924.35/1,383.21 = 533.25/x
  3. Step 3: Cross multiply
    924.35x = 1,383.21 × 533.25
  4. Step 4: Simplify right side
    924.35x = 737,596.73
  5. Step 5: Solve for x
    x = 737,596.73/924.35
  6. Step 6: Final answer
    x = 797.97

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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.