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Finding the Fourth Proportional to 1,020.04, 1,528.47 and 789.50

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Solution

The fourth proportional to 1,020.04, 1,528.47 and 789.50 is: 1,183.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.04 : 1,528.47 = 789.50 : x
  2. Step 2: Convert to fraction form
    1,020.04/1,528.47 = 789.50/x
  3. Step 3: Cross multiply
    1,020.04x = 1,528.47 × 789.50
  4. Step 4: Simplify right side
    1,020.04x = 1,206,722.29
  5. Step 5: Solve for x
    x = 1,206,722.29/1,020.04
  6. Step 6: Final answer
    x = 1,183.01

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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.