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Finding the Fourth Proportional to 1,054.44, 1,581.60 and 324.01

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Solution

The fourth proportional to 1,054.44, 1,581.60 and 324.01 is: 486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.44 : 1,581.60 = 324.01 : x
  2. Step 2: Convert to fraction form
    1,054.44/1,581.60 = 324.01/x
  3. Step 3: Cross multiply
    1,054.44x = 1,581.60 × 324.01
  4. Step 4: Simplify right side
    1,054.44x = 512,454.22
  5. Step 5: Solve for x
    x = 512,454.22/1,054.44
  6. Step 6: Final answer
    x = 486.00

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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.