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Finding the Fourth Proportional to 1,195.97, 1,792.34 and 578.45

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Solution

The fourth proportional to 1,195.97, 1,792.34 and 578.45 is: 866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.97 : 1,792.34 = 578.45 : x
  2. Step 2: Convert to fraction form
    1,195.97/1,792.34 = 578.45/x
  3. Step 3: Cross multiply
    1,195.97x = 1,792.34 × 578.45
  4. Step 4: Simplify right side
    1,195.97x = 1,036,780.66
  5. Step 5: Solve for x
    x = 1,036,780.66/1,195.97
  6. Step 6: Final answer
    x = 866.89

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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.