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Finding the Fourth Proportional to 773.86, 1,160.06 and 465.80

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Solution

The fourth proportional to 773.86, 1,160.06 and 465.80 is: 698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.86 : 1,160.06 = 465.80 : x
  2. Step 2: Convert to fraction form
    773.86/1,160.06 = 465.80/x
  3. Step 3: Cross multiply
    773.86x = 1,160.06 × 465.80
  4. Step 4: Simplify right side
    773.86x = 540,355.95
  5. Step 5: Solve for x
    x = 540,355.95/773.86
  6. Step 6: Final answer
    x = 698.26

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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.