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Finding the Fourth Proportional to 807.95, 1,211.93 and 230.83

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Solution

The fourth proportional to 807.95, 1,211.93 and 230.83 is: 346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.95 : 1,211.93 = 230.83 : x
  2. Step 2: Convert to fraction form
    807.95/1,211.93 = 230.83/x
  3. Step 3: Cross multiply
    807.95x = 1,211.93 × 230.83
  4. Step 4: Simplify right side
    807.95x = 279,749.80
  5. Step 5: Solve for x
    x = 279,749.80/807.95
  6. Step 6: Final answer
    x = 346.25

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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.