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Finding the Fourth Proportional to 1,195.40, 1,793.55 and 579.05

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Solution

The fourth proportional to 1,195.40, 1,793.55 and 579.05 is: 868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.40 : 1,793.55 = 579.05 : x
  2. Step 2: Convert to fraction form
    1,195.40/1,793.55 = 579.05/x
  3. Step 3: Cross multiply
    1,195.40x = 1,793.55 × 579.05
  4. Step 4: Simplify right side
    1,195.40x = 1,038,561.06
  5. Step 5: Solve for x
    x = 1,038,561.06/1,195.40
  6. Step 6: Final answer
    x = 868.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.