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Finding the Fourth Proportional to 1,176, 1,764 and 396

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Solution

The fourth proportional to 1,176, 1,764 and 396 is: 594

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176 : 1,764 = 396 : x
  2. Step 2: Convert to fraction form
    1,176/1,764 = 396/x
  3. Step 3: Cross multiply
    1,176x = 1,764 × 396
  4. Step 4: Simplify right side
    1,176x = 698,544
  5. Step 5: Solve for x
    x = 698,544/1,176
  6. Step 6: Final answer
    x = 594

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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.