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Finding the Fourth Proportional to 1,084.04, 1,626.06 and 506.52

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Solution

The fourth proportional to 1,084.04, 1,626.06 and 506.52 is: 759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.04 : 1,626.06 = 506.52 : x
  2. Step 2: Convert to fraction form
    1,084.04/1,626.06 = 506.52/x
  3. Step 3: Cross multiply
    1,084.04x = 1,626.06 × 506.52
  4. Step 4: Simplify right side
    1,084.04x = 823,631.91
  5. Step 5: Solve for x
    x = 823,631.91/1,084.04
  6. Step 6: Final answer
    x = 759.78

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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.