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Finding the Fourth Proportional to 670.33, 1,004.18 and 391.97

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Solution

The fourth proportional to 670.33, 1,004.18 and 391.97 is: 587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.33 : 1,004.18 = 391.97 : x
  2. Step 2: Convert to fraction form
    670.33/1,004.18 = 391.97/x
  3. Step 3: Cross multiply
    670.33x = 1,004.18 × 391.97
  4. Step 4: Simplify right side
    670.33x = 393,611.19
  5. Step 5: Solve for x
    x = 393,611.19/670.33
  6. Step 6: Final answer
    x = 587.19

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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.