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Finding the Fourth Proportional to 670.89, 1,006.45 and 208.66

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Solution

The fourth proportional to 670.89, 1,006.45 and 208.66 is: 313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.89 : 1,006.45 = 208.66 : x
  2. Step 2: Convert to fraction form
    670.89/1,006.45 = 208.66/x
  3. Step 3: Cross multiply
    670.89x = 1,006.45 × 208.66
  4. Step 4: Simplify right side
    670.89x = 210,005.86
  5. Step 5: Solve for x
    x = 210,005.86/670.89
  6. Step 6: Final answer
    x = 313.03

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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.