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Finding the Fourth Proportional to 1,086.49, 1,628.44 and 500.90

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Solution

The fourth proportional to 1,086.49, 1,628.44 and 500.90 is: 750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.49 : 1,628.44 = 500.90 : x
  2. Step 2: Convert to fraction form
    1,086.49/1,628.44 = 500.90/x
  3. Step 3: Cross multiply
    1,086.49x = 1,628.44 × 500.90
  4. Step 4: Simplify right side
    1,086.49x = 815,682.59
  5. Step 5: Solve for x
    x = 815,682.59/1,086.49
  6. Step 6: Final answer
    x = 750.75

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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.