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Finding the Fourth Proportional to 1,025.56, 1,538.29 and 332.26

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Solution

The fourth proportional to 1,025.56, 1,538.29 and 332.26 is: 498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.56 : 1,538.29 = 332.26 : x
  2. Step 2: Convert to fraction form
    1,025.56/1,538.29 = 332.26/x
  3. Step 3: Cross multiply
    1,025.56x = 1,538.29 × 332.26
  4. Step 4: Simplify right side
    1,025.56x = 511,112.24
  5. Step 5: Solve for x
    x = 511,112.24/1,025.56
  6. Step 6: Final answer
    x = 498.37

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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.