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Finding the Fourth Proportional to 770.73, 1,155.07 and 523.81

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Solution

The fourth proportional to 770.73, 1,155.07 and 523.81 is: 785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.73 : 1,155.07 = 523.81 : x
  2. Step 2: Convert to fraction form
    770.73/1,155.07 = 523.81/x
  3. Step 3: Cross multiply
    770.73x = 1,155.07 × 523.81
  4. Step 4: Simplify right side
    770.73x = 605,037.22
  5. Step 5: Solve for x
    x = 605,037.22/770.73
  6. Step 6: Final answer
    x = 785.02

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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.