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Finding the Fourth Proportional to 1,019.65, 1,528.73 and 325.92

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Solution

The fourth proportional to 1,019.65, 1,528.73 and 325.92 is: 488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.65 : 1,528.73 = 325.92 : x
  2. Step 2: Convert to fraction form
    1,019.65/1,528.73 = 325.92/x
  3. Step 3: Cross multiply
    1,019.65x = 1,528.73 × 325.92
  4. Step 4: Simplify right side
    1,019.65x = 498,242.05
  5. Step 5: Solve for x
    x = 498,242.05/1,019.65
  6. Step 6: Final answer
    x = 488.64

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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.