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Finding the Fourth Proportional to 790.04, 1,183.98 and 400.17

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Solution

The fourth proportional to 790.04, 1,183.98 and 400.17 is: 599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.04 : 1,183.98 = 400.17 : x
  2. Step 2: Convert to fraction form
    790.04/1,183.98 = 400.17/x
  3. Step 3: Cross multiply
    790.04x = 1,183.98 × 400.17
  4. Step 4: Simplify right side
    790.04x = 473,793.28
  5. Step 5: Solve for x
    x = 473,793.28/790.04
  6. Step 6: Final answer
    x = 599.71

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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.