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Finding the Fourth Proportional to 773.84, 1,160.60 and 260.72

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Solution

The fourth proportional to 773.84, 1,160.60 and 260.72 is: 391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.84 : 1,160.60 = 260.72 : x
  2. Step 2: Convert to fraction form
    773.84/1,160.60 = 260.72/x
  3. Step 3: Cross multiply
    773.84x = 1,160.60 × 260.72
  4. Step 4: Simplify right side
    773.84x = 302,591.63
  5. Step 5: Solve for x
    x = 302,591.63/773.84
  6. Step 6: Final answer
    x = 391.03

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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.