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Finding the Fourth Proportional to 790.67, 1,186.01 and 213.53

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Solution

The fourth proportional to 790.67, 1,186.01 and 213.53 is: 320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.67 : 1,186.01 = 213.53 : x
  2. Step 2: Convert to fraction form
    790.67/1,186.01 = 213.53/x
  3. Step 3: Cross multiply
    790.67x = 1,186.01 × 213.53
  4. Step 4: Simplify right side
    790.67x = 253,247.65
  5. Step 5: Solve for x
    x = 253,247.65/790.67
  6. Step 6: Final answer
    x = 320.30

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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.