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Finding the Fourth Proportional to 1,078.50, 1,487.94 and 636.54

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Solution

The fourth proportional to 1,078.50, 1,487.94 and 636.54 is: 878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.50 : 1,487.94 = 636.54 : x
  2. Step 2: Convert to fraction form
    1,078.50/1,487.94 = 636.54/x
  3. Step 3: Cross multiply
    1,078.50x = 1,487.94 × 636.54
  4. Step 4: Simplify right side
    1,078.50x = 947,133.33
  5. Step 5: Solve for x
    x = 947,133.33/1,078.50
  6. Step 6: Final answer
    x = 878.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.