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Finding the Fourth Proportional to 789.65, 1,184.90 and 400.09

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Solution

The fourth proportional to 789.65, 1,184.90 and 400.09 is: 600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.65 : 1,184.90 = 400.09 : x
  2. Step 2: Convert to fraction form
    789.65/1,184.90 = 400.09/x
  3. Step 3: Cross multiply
    789.65x = 1,184.90 × 400.09
  4. Step 4: Simplify right side
    789.65x = 474,062.24
  5. Step 5: Solve for x
    x = 474,062.24/789.65
  6. Step 6: Final answer
    x = 600.35

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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.