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Finding the Fourth Proportional to 1,069.76, 1,604.88 and 453.44

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Solution

The fourth proportional to 1,069.76, 1,604.88 and 453.44 is: 680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.76 : 1,604.88 = 453.44 : x
  2. Step 2: Convert to fraction form
    1,069.76/1,604.88 = 453.44/x
  3. Step 3: Cross multiply
    1,069.76x = 1,604.88 × 453.44
  4. Step 4: Simplify right side
    1,069.76x = 727,716.79
  5. Step 5: Solve for x
    x = 727,716.79/1,069.76
  6. Step 6: Final answer
    x = 680.26

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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.