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Finding the Fourth Proportional to 670.91, 1,006.77 and 427.52

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Solution

The fourth proportional to 670.91, 1,006.77 and 427.52 is: 641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.91 : 1,006.77 = 427.52 : x
  2. Step 2: Convert to fraction form
    670.91/1,006.77 = 427.52/x
  3. Step 3: Cross multiply
    670.91x = 1,006.77 × 427.52
  4. Step 4: Simplify right side
    670.91x = 430,414.31
  5. Step 5: Solve for x
    x = 430,414.31/670.91
  6. Step 6: Final answer
    x = 641.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.