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Finding the Fourth Proportional to 863.28, 1,289.07 and 678.60

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Solution

The fourth proportional to 863.28, 1,289.07 and 678.60 is: 1,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.28 : 1,289.07 = 678.60 : x
  2. Step 2: Convert to fraction form
    863.28/1,289.07 = 678.60/x
  3. Step 3: Cross multiply
    863.28x = 1,289.07 × 678.60
  4. Step 4: Simplify right side
    863.28x = 874,762.90
  5. Step 5: Solve for x
    x = 874,762.90/863.28
  6. Step 6: Final answer
    x = 1,013.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.