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Finding the Fourth Proportional to 1,019.05, 1,528.62 and 325.82

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Solution

The fourth proportional to 1,019.05, 1,528.62 and 325.82 is: 488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.05 : 1,528.62 = 325.82 : x
  2. Step 2: Convert to fraction form
    1,019.05/1,528.62 = 325.82/x
  3. Step 3: Cross multiply
    1,019.05x = 1,528.62 × 325.82
  4. Step 4: Simplify right side
    1,019.05x = 498,045.70
  5. Step 5: Solve for x
    x = 498,045.70/1,019.05
  6. Step 6: Final answer
    x = 488.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.