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Finding the Fourth Proportional to 713.62, 1,070.28 and 200.50

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Solution

The fourth proportional to 713.62, 1,070.28 and 200.50 is: 300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.62 : 1,070.28 = 200.50 : x
  2. Step 2: Convert to fraction form
    713.62/1,070.28 = 200.50/x
  3. Step 3: Cross multiply
    713.62x = 1,070.28 × 200.50
  4. Step 4: Simplify right side
    713.62x = 214,591.14
  5. Step 5: Solve for x
    x = 214,591.14/713.62
  6. Step 6: Final answer
    x = 300.71

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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.