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Finding the Fourth Proportional to 1,086.26, 1,628.15 and 436.23

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Solution

The fourth proportional to 1,086.26, 1,628.15 and 436.23 is: 653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.26 : 1,628.15 = 436.23 : x
  2. Step 2: Convert to fraction form
    1,086.26/1,628.15 = 436.23/x
  3. Step 3: Cross multiply
    1,086.26x = 1,628.15 × 436.23
  4. Step 4: Simplify right side
    1,086.26x = 710,245.69
  5. Step 5: Solve for x
    x = 710,245.69/1,086.26
  6. Step 6: Final answer
    x = 653.85

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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.