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Finding the Fourth Proportional to 1,232.86, 1,700.94 and 813.42

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Solution

The fourth proportional to 1,232.86, 1,700.94 and 813.42 is: 1,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.86 : 1,700.94 = 813.42 : x
  2. Step 2: Convert to fraction form
    1,232.86/1,700.94 = 813.42/x
  3. Step 3: Cross multiply
    1,232.86x = 1,700.94 × 813.42
  4. Step 4: Simplify right side
    1,232.86x = 1,383,578.61
  5. Step 5: Solve for x
    x = 1,383,578.61/1,232.86
  6. Step 6: Final answer
    x = 1,122.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.