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Finding the Fourth Proportional to 1,626.38, 2,439.62 and 530.83

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Solution

The fourth proportional to 1,626.38, 2,439.62 and 530.83 is: 796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.38 : 2,439.62 = 530.83 : x
  2. Step 2: Convert to fraction form
    1,626.38/2,439.62 = 530.83/x
  3. Step 3: Cross multiply
    1,626.38x = 2,439.62 × 530.83
  4. Step 4: Simplify right side
    1,626.38x = 1,295,019.01
  5. Step 5: Solve for x
    x = 1,295,019.01/1,626.38
  6. Step 6: Final answer
    x = 796.26

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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.