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Finding the Fourth Proportional to 1,104.99, 1,657.58 and 324.97

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Solution

The fourth proportional to 1,104.99, 1,657.58 and 324.97 is: 487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.99 : 1,657.58 = 324.97 : x
  2. Step 2: Convert to fraction form
    1,104.99/1,657.58 = 324.97/x
  3. Step 3: Cross multiply
    1,104.99x = 1,657.58 × 324.97
  4. Step 4: Simplify right side
    1,104.99x = 538,664.49
  5. Step 5: Solve for x
    x = 538,664.49/1,104.99
  6. Step 6: Final answer
    x = 487.48

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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.