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Finding the Fourth Proportional to 775, 1,162.98 and 319

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Solution

The fourth proportional to 775, 1,162.98 and 319 is: 478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    775 : 1,162.98 = 319 : x
  2. Step 2: Convert to fraction form
    775/1,162.98 = 319/x
  3. Step 3: Cross multiply
    775x = 1,162.98 × 319
  4. Step 4: Simplify right side
    775x = 370,990.62
  5. Step 5: Solve for x
    x = 370,990.62/775
  6. Step 6: Final answer
    x = 478.70

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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.