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Finding the Fourth Proportional to 670.97, 1,006.54 and 208.78

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Solution

The fourth proportional to 670.97, 1,006.54 and 208.78 is: 313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.97 : 1,006.54 = 208.78 : x
  2. Step 2: Convert to fraction form
    670.97/1,006.54 = 208.78/x
  3. Step 3: Cross multiply
    670.97x = 1,006.54 × 208.78
  4. Step 4: Simplify right side
    670.97x = 210,142.38
  5. Step 5: Solve for x
    x = 210,142.38/670.97
  6. Step 6: Final answer
    x = 313.19

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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.