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Finding the Fourth Proportional to 712.20, 1,069.10 and 550.60

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Solution

The fourth proportional to 712.20, 1,069.10 and 550.60 is: 826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.20 : 1,069.10 = 550.60 : x
  2. Step 2: Convert to fraction form
    712.20/1,069.10 = 550.60/x
  3. Step 3: Cross multiply
    712.20x = 1,069.10 × 550.60
  4. Step 4: Simplify right side
    712.20x = 588,646.46
  5. Step 5: Solve for x
    x = 588,646.46/712.20
  6. Step 6: Final answer
    x = 826.52

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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.