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Finding the Fourth Proportional to 801.07, 1,201.76 and 253.39

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Solution

The fourth proportional to 801.07, 1,201.76 and 253.39 is: 380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.07 : 1,201.76 = 253.39 : x
  2. Step 2: Convert to fraction form
    801.07/1,201.76 = 253.39/x
  3. Step 3: Cross multiply
    801.07x = 1,201.76 × 253.39
  4. Step 4: Simplify right side
    801.07x = 304,516.97
  5. Step 5: Solve for x
    x = 304,516.97/801.07
  6. Step 6: Final answer
    x = 380.14

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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.