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Finding the Fourth Proportional to 1,054.54, 1,581.79 and 324.13

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Solution

The fourth proportional to 1,054.54, 1,581.79 and 324.13 is: 486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.54 : 1,581.79 = 324.13 : x
  2. Step 2: Convert to fraction form
    1,054.54/1,581.79 = 324.13/x
  3. Step 3: Cross multiply
    1,054.54x = 1,581.79 × 324.13
  4. Step 4: Simplify right side
    1,054.54x = 512,705.59
  5. Step 5: Solve for x
    x = 512,705.59/1,054.54
  6. Step 6: Final answer
    x = 486.19

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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.