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Finding the Fourth Proportional to 777.73, 1,160.89 and 685.46

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Solution

The fourth proportional to 777.73, 1,160.89 and 685.46 is: 1,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.73 : 1,160.89 = 685.46 : x
  2. Step 2: Convert to fraction form
    777.73/1,160.89 = 685.46/x
  3. Step 3: Cross multiply
    777.73x = 1,160.89 × 685.46
  4. Step 4: Simplify right side
    777.73x = 795,743.66
  5. Step 5: Solve for x
    x = 795,743.66/777.73
  6. Step 6: Final answer
    x = 1,023.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.