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Finding the Fourth Proportional to 1,018.54, 1,528.08 and 325.18

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Solution

The fourth proportional to 1,018.54, 1,528.08 and 325.18 is: 487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.54 : 1,528.08 = 325.18 : x
  2. Step 2: Convert to fraction form
    1,018.54/1,528.08 = 325.18/x
  3. Step 3: Cross multiply
    1,018.54x = 1,528.08 × 325.18
  4. Step 4: Simplify right side
    1,018.54x = 496,891.79
  5. Step 5: Solve for x
    x = 496,891.79/1,018.54
  6. Step 6: Final answer
    x = 487.85

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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.