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Finding the Fourth Proportional to 774.14, 1,160.15 and 362.57

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Solution

The fourth proportional to 774.14, 1,160.15 and 362.57 is: 543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.14 : 1,160.15 = 362.57 : x
  2. Step 2: Convert to fraction form
    774.14/1,160.15 = 362.57/x
  3. Step 3: Cross multiply
    774.14x = 1,160.15 × 362.57
  4. Step 4: Simplify right side
    774.14x = 420,627.97
  5. Step 5: Solve for x
    x = 420,627.97/774.14
  6. Step 6: Final answer
    x = 543.35

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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.