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Finding the Fourth Proportional to 670.50, 1,005.75 and 214.50

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Solution

The fourth proportional to 670.50, 1,005.75 and 214.50 is: 321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.50 : 1,005.75 = 214.50 : x
  2. Step 2: Convert to fraction form
    670.50/1,005.75 = 214.50/x
  3. Step 3: Cross multiply
    670.50x = 1,005.75 × 214.50
  4. Step 4: Simplify right side
    670.50x = 215,733.38
  5. Step 5: Solve for x
    x = 215,733.38/670.50
  6. Step 6: Final answer
    x = 321.75

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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.