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Finding the Fourth Proportional to 1,176.39, 1,764.50 and 396.46

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Solution

The fourth proportional to 1,176.39, 1,764.50 and 396.46 is: 594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.39 : 1,764.50 = 396.46 : x
  2. Step 2: Convert to fraction form
    1,176.39/1,764.50 = 396.46/x
  3. Step 3: Cross multiply
    1,176.39x = 1,764.50 × 396.46
  4. Step 4: Simplify right side
    1,176.39x = 699,550.25
  5. Step 5: Solve for x
    x = 699,550.25/1,176.39
  6. Step 6: Final answer
    x = 594.66

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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.