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Finding the Fourth Proportional to 1,183.54, 1,774.86 and 525.43

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Solution

The fourth proportional to 1,183.54, 1,774.86 and 525.43 is: 787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.54 : 1,774.86 = 525.43 : x
  2. Step 2: Convert to fraction form
    1,183.54/1,774.86 = 525.43/x
  3. Step 3: Cross multiply
    1,183.54x = 1,774.86 × 525.43
  4. Step 4: Simplify right side
    1,183.54x = 932,564.69
  5. Step 5: Solve for x
    x = 932,564.69/1,183.54
  6. Step 6: Final answer
    x = 787.95

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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.