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Finding the Fourth Proportional to 1,176.38, 1,763.77 and 482.85

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Solution

The fourth proportional to 1,176.38, 1,763.77 and 482.85 is: 723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.38 : 1,763.77 = 482.85 : x
  2. Step 2: Convert to fraction form
    1,176.38/1,763.77 = 482.85/x
  3. Step 3: Cross multiply
    1,176.38x = 1,763.77 × 482.85
  4. Step 4: Simplify right side
    1,176.38x = 851,636.34
  5. Step 5: Solve for x
    x = 851,636.34/1,176.38
  6. Step 6: Final answer
    x = 723.95

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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.