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Finding the Fourth Proportional to 774.09, 1,160.19 and 541.71

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Solution

The fourth proportional to 774.09, 1,160.19 and 541.71 is: 811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.09 : 1,160.19 = 541.71 : x
  2. Step 2: Convert to fraction form
    774.09/1,160.19 = 541.71/x
  3. Step 3: Cross multiply
    774.09x = 1,160.19 × 541.71
  4. Step 4: Simplify right side
    774.09x = 628,486.52
  5. Step 5: Solve for x
    x = 628,486.52/774.09
  6. Step 6: Final answer
    x = 811.90

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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.