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Finding the Fourth Proportional to 924.21, 1,383.26 and 576.36

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Solution

The fourth proportional to 924.21, 1,383.26 and 576.36 is: 862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.21 : 1,383.26 = 576.36 : x
  2. Step 2: Convert to fraction form
    924.21/1,383.26 = 576.36/x
  3. Step 3: Cross multiply
    924.21x = 1,383.26 × 576.36
  4. Step 4: Simplify right side
    924.21x = 797,252.85
  5. Step 5: Solve for x
    x = 797,252.85/924.21
  6. Step 6: Final answer
    x = 862.63

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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.