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Finding the Fourth Proportional to 800.85, 1,201.50 and 253.11

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Solution

The fourth proportional to 800.85, 1,201.50 and 253.11 is: 379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.85 : 1,201.50 = 253.11 : x
  2. Step 2: Convert to fraction form
    800.85/1,201.50 = 253.11/x
  3. Step 3: Cross multiply
    800.85x = 1,201.50 × 253.11
  4. Step 4: Simplify right side
    800.85x = 304,111.67
  5. Step 5: Solve for x
    x = 304,111.67/800.85
  6. Step 6: Final answer
    x = 379.74

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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.