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Finding the Fourth Proportional to 774.08, 1,160.28 and 362.96

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Solution

The fourth proportional to 774.08, 1,160.28 and 362.96 is: 544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.08 : 1,160.28 = 362.96 : x
  2. Step 2: Convert to fraction form
    774.08/1,160.28 = 362.96/x
  3. Step 3: Cross multiply
    774.08x = 1,160.28 × 362.96
  4. Step 4: Simplify right side
    774.08x = 421,135.23
  5. Step 5: Solve for x
    x = 421,135.23/774.08
  6. Step 6: Final answer
    x = 544.05

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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.