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Finding the Fourth Proportional to 638.73, 957.71 and 561.84

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Solution

The fourth proportional to 638.73, 957.71 and 561.84 is: 842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.73 : 957.71 = 561.84 : x
  2. Step 2: Convert to fraction form
    638.73/957.71 = 561.84/x
  3. Step 3: Cross multiply
    638.73x = 957.71 × 561.84
  4. Step 4: Simplify right side
    638.73x = 538,076.98
  5. Step 5: Solve for x
    x = 538,076.98/638.73
  6. Step 6: Final answer
    x = 842.42

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Why These Related Problems?

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