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Finding the Fourth Proportional to 824.70, 1,237.60 and 642.44

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Solution

The fourth proportional to 824.70, 1,237.60 and 642.44 is: 964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.70 : 1,237.60 = 642.44 : x
  2. Step 2: Convert to fraction form
    824.70/1,237.60 = 642.44/x
  3. Step 3: Cross multiply
    824.70x = 1,237.60 × 642.44
  4. Step 4: Simplify right side
    824.70x = 795,083.74
  5. Step 5: Solve for x
    x = 795,083.74/824.70
  6. Step 6: Final answer
    x = 964.09

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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.