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Finding the Fourth Proportional to 919.20, 1,378.80 and 826.40

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Solution

The fourth proportional to 919.20, 1,378.80 and 826.40 is: 1,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.20 : 1,378.80 = 826.40 : x
  2. Step 2: Convert to fraction form
    919.20/1,378.80 = 826.40/x
  3. Step 3: Cross multiply
    919.20x = 1,378.80 × 826.40
  4. Step 4: Simplify right side
    919.20x = 1,139,440.32
  5. Step 5: Solve for x
    x = 1,139,440.32/919.20
  6. Step 6: Final answer
    x = 1,239.60

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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.