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Finding the Fourth Proportional to 774.01, 1,161.14 and 253.86

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Solution

The fourth proportional to 774.01, 1,161.14 and 253.86 is: 380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.01 : 1,161.14 = 253.86 : x
  2. Step 2: Convert to fraction form
    774.01/1,161.14 = 253.86/x
  3. Step 3: Cross multiply
    774.01x = 1,161.14 × 253.86
  4. Step 4: Simplify right side
    774.01x = 294,767.00
  5. Step 5: Solve for x
    x = 294,767.00/774.01
  6. Step 6: Final answer
    x = 380.83

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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.