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Finding the Fourth Proportional to 1,579.75, 2,366.04 and 758.62

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Solution

The fourth proportional to 1,579.75, 2,366.04 and 758.62 is: 1,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.75 : 2,366.04 = 758.62 : x
  2. Step 2: Convert to fraction form
    1,579.75/2,366.04 = 758.62/x
  3. Step 3: Cross multiply
    1,579.75x = 2,366.04 × 758.62
  4. Step 4: Simplify right side
    1,579.75x = 1,794,925.26
  5. Step 5: Solve for x
    x = 1,794,925.26/1,579.75
  6. Step 6: Final answer
    x = 1,136.21

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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.