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Finding the Fourth Proportional to 689.12, 1,033.52 and 380.88

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Solution

The fourth proportional to 689.12, 1,033.52 and 380.88 is: 571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.12 : 1,033.52 = 380.88 : x
  2. Step 2: Convert to fraction form
    689.12/1,033.52 = 380.88/x
  3. Step 3: Cross multiply
    689.12x = 1,033.52 × 380.88
  4. Step 4: Simplify right side
    689.12x = 393,647.10
  5. Step 5: Solve for x
    x = 393,647.10/689.12
  6. Step 6: Final answer
    x = 571.23

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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.