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Finding the Fourth Proportional to 1,200.62, 1,654.53 and 850.70

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Solution

The fourth proportional to 1,200.62, 1,654.53 and 850.70 is: 1,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.62 : 1,654.53 = 850.70 : x
  2. Step 2: Convert to fraction form
    1,200.62/1,654.53 = 850.70/x
  3. Step 3: Cross multiply
    1,200.62x = 1,654.53 × 850.70
  4. Step 4: Simplify right side
    1,200.62x = 1,407,509.62
  5. Step 5: Solve for x
    x = 1,407,509.62/1,200.62
  6. Step 6: Final answer
    x = 1,172.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.