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Finding the Fourth Proportional to 701.06, 1,051.26 and 408.65

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Solution

The fourth proportional to 701.06, 1,051.26 and 408.65 is: 612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.06 : 1,051.26 = 408.65 : x
  2. Step 2: Convert to fraction form
    701.06/1,051.26 = 408.65/x
  3. Step 3: Cross multiply
    701.06x = 1,051.26 × 408.65
  4. Step 4: Simplify right side
    701.06x = 429,597.40
  5. Step 5: Solve for x
    x = 429,597.40/701.06
  6. Step 6: Final answer
    x = 612.78

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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.