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Finding the Fourth Proportional to 773.77, 1,160.65 and 260.77

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Solution

The fourth proportional to 773.77, 1,160.65 and 260.77 is: 391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.77 : 1,160.65 = 260.77 : x
  2. Step 2: Convert to fraction form
    773.77/1,160.65 = 260.77/x
  3. Step 3: Cross multiply
    773.77x = 1,160.65 × 260.77
  4. Step 4: Simplify right side
    773.77x = 302,662.70
  5. Step 5: Solve for x
    x = 302,662.70/773.77
  6. Step 6: Final answer
    x = 391.15

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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.