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Finding the Fourth Proportional to 786.87, 1,181.25 and 523.53

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Solution

The fourth proportional to 786.87, 1,181.25 and 523.53 is: 785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.87 : 1,181.25 = 523.53 : x
  2. Step 2: Convert to fraction form
    786.87/1,181.25 = 523.53/x
  3. Step 3: Cross multiply
    786.87x = 1,181.25 × 523.53
  4. Step 4: Simplify right side
    786.87x = 618,419.81
  5. Step 5: Solve for x
    x = 618,419.81/786.87
  6. Step 6: Final answer
    x = 785.92

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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.