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Finding the Fourth Proportional to 830.07, 1,245.08 and 213.75

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Solution

The fourth proportional to 830.07, 1,245.08 and 213.75 is: 320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.07 : 1,245.08 = 213.75 : x
  2. Step 2: Convert to fraction form
    830.07/1,245.08 = 213.75/x
  3. Step 3: Cross multiply
    830.07x = 1,245.08 × 213.75
  4. Step 4: Simplify right side
    830.07x = 266,134.78
  5. Step 5: Solve for x
    x = 266,134.78/830.07
  6. Step 6: Final answer
    x = 320.62

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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.