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Finding the Fourth Proportional to 1,176.33, 1,764.50 and 396.19

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Solution

The fourth proportional to 1,176.33, 1,764.50 and 396.19 is: 594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.33 : 1,764.50 = 396.19 : x
  2. Step 2: Convert to fraction form
    1,176.33/1,764.50 = 396.19/x
  3. Step 3: Cross multiply
    1,176.33x = 1,764.50 × 396.19
  4. Step 4: Simplify right side
    1,176.33x = 699,070.86
  5. Step 5: Solve for x
    x = 699,070.86/1,176.33
  6. Step 6: Final answer
    x = 594.28

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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.