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Finding the Fourth Proportional to 670, 1,005 and 214

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Solution

The fourth proportional to 670, 1,005 and 214 is: 321

Step by Step Solution

  1. Step 1: Write the proportion equation
    670 : 1,005 = 214 : x
  2. Step 2: Convert to fraction form
    670/1,005 = 214/x
  3. Step 3: Cross multiply
    670x = 1,005 × 214
  4. Step 4: Simplify right side
    670x = 215,070
  5. Step 5: Solve for x
    x = 215,070/670
  6. Step 6: Final answer
    x = 321

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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.