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Finding the Fourth Proportional to 794.80, 1,192.45 and 383.95

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Solution

The fourth proportional to 794.80, 1,192.45 and 383.95 is: 576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.80 : 1,192.45 = 383.95 : x
  2. Step 2: Convert to fraction form
    794.80/1,192.45 = 383.95/x
  3. Step 3: Cross multiply
    794.80x = 1,192.45 × 383.95
  4. Step 4: Simplify right side
    794.80x = 457,841.18
  5. Step 5: Solve for x
    x = 457,841.18/794.80
  6. Step 6: Final answer
    x = 576.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.