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Finding the Fourth Proportional to 1,195.39, 1,792.06 and 579.52

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Solution

The fourth proportional to 1,195.39, 1,792.06 and 579.52 is: 868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.39 : 1,792.06 = 579.52 : x
  2. Step 2: Convert to fraction form
    1,195.39/1,792.06 = 579.52/x
  3. Step 3: Cross multiply
    1,195.39x = 1,792.06 × 579.52
  4. Step 4: Simplify right side
    1,195.39x = 1,038,535.40
  5. Step 5: Solve for x
    x = 1,038,535.40/1,195.39
  6. Step 6: Final answer
    x = 868.78

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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.