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Finding the Fourth Proportional to 674.37, 1,011.54 and 212.15

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Solution

The fourth proportional to 674.37, 1,011.54 and 212.15 is: 318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.37 : 1,011.54 = 212.15 : x
  2. Step 2: Convert to fraction form
    674.37/1,011.54 = 212.15/x
  3. Step 3: Cross multiply
    674.37x = 1,011.54 × 212.15
  4. Step 4: Simplify right side
    674.37x = 214,598.21
  5. Step 5: Solve for x
    x = 214,598.21/674.37
  6. Step 6: Final answer
    x = 318.22

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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.