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Finding the Fourth Proportional to 770.74, 1,160.69 and 694.60

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Solution

The fourth proportional to 770.74, 1,160.69 and 694.60 is: 1,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.74 : 1,160.69 = 694.60 : x
  2. Step 2: Convert to fraction form
    770.74/1,160.69 = 694.60/x
  3. Step 3: Cross multiply
    770.74x = 1,160.69 × 694.60
  4. Step 4: Simplify right side
    770.74x = 806,215.27
  5. Step 5: Solve for x
    x = 806,215.27/770.74
  6. Step 6: Final answer
    x = 1,046.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.