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Finding the Fourth Proportional to 863.97, 1,289.69 and 740.04

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Solution

The fourth proportional to 863.97, 1,289.69 and 740.04 is: 1,104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.97 : 1,289.69 = 740.04 : x
  2. Step 2: Convert to fraction form
    863.97/1,289.69 = 740.04/x
  3. Step 3: Cross multiply
    863.97x = 1,289.69 × 740.04
  4. Step 4: Simplify right side
    863.97x = 954,418.49
  5. Step 5: Solve for x
    x = 954,418.49/863.97
  6. Step 6: Final answer
    x = 1,104.69

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1.5x scale

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.