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Finding the Fourth Proportional to 670.54, 1,005.81 and 426.33

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Solution

The fourth proportional to 670.54, 1,005.81 and 426.33 is: 639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.54 : 1,005.81 = 426.33 : x
  2. Step 2: Convert to fraction form
    670.54/1,005.81 = 426.33/x
  3. Step 3: Cross multiply
    670.54x = 1,005.81 × 426.33
  4. Step 4: Simplify right side
    670.54x = 428,806.98
  5. Step 5: Solve for x
    x = 428,806.98/670.54
  6. Step 6: Final answer
    x = 639.50

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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.