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Finding the Fourth Proportional to 1,626.83, 2,440.46 and 530.81

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Solution

The fourth proportional to 1,626.83, 2,440.46 and 530.81 is: 796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.83 : 2,440.46 = 530.81 : x
  2. Step 2: Convert to fraction form
    1,626.83/2,440.46 = 530.81/x
  3. Step 3: Cross multiply
    1,626.83x = 2,440.46 × 530.81
  4. Step 4: Simplify right side
    1,626.83x = 1,295,420.57
  5. Step 5: Solve for x
    x = 1,295,420.57/1,626.83
  6. Step 6: Final answer
    x = 796.29

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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.