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Finding the Fourth Proportional to 674.14, 1,011.13 and 187.13

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Solution

The fourth proportional to 674.14, 1,011.13 and 187.13 is: 280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.14 : 1,011.13 = 187.13 : x
  2. Step 2: Convert to fraction form
    674.14/1,011.13 = 187.13/x
  3. Step 3: Cross multiply
    674.14x = 1,011.13 × 187.13
  4. Step 4: Simplify right side
    674.14x = 189,212.76
  5. Step 5: Solve for x
    x = 189,212.76/674.14
  6. Step 6: Final answer
    x = 280.67

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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.