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Finding the Fourth Proportional to 824.42, 1,235.28 and 641.36

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Solution

The fourth proportional to 824.42, 1,235.28 and 641.36 is: 960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.42 : 1,235.28 = 641.36 : x
  2. Step 2: Convert to fraction form
    824.42/1,235.28 = 641.36/x
  3. Step 3: Cross multiply
    824.42x = 1,235.28 × 641.36
  4. Step 4: Simplify right side
    824.42x = 792,259.18
  5. Step 5: Solve for x
    x = 792,259.18/824.42
  6. Step 6: Final answer
    x = 960.99

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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.