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Finding the Fourth Proportional to 919.80, 1,378.48 and 688.12

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Solution

The fourth proportional to 919.80, 1,378.48 and 688.12 is: 1,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.80 : 1,378.48 = 688.12 : x
  2. Step 2: Convert to fraction form
    919.80/1,378.48 = 688.12/x
  3. Step 3: Cross multiply
    919.80x = 1,378.48 × 688.12
  4. Step 4: Simplify right side
    919.80x = 948,559.66
  5. Step 5: Solve for x
    x = 948,559.66/919.80
  6. Step 6: Final answer
    x = 1,031.27

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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.