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Finding the Fourth Proportional to 1,232.48, 1,700.66 and 813.64

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Solution

The fourth proportional to 1,232.48, 1,700.66 and 813.64 is: 1,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.48 : 1,700.66 = 813.64 : x
  2. Step 2: Convert to fraction form
    1,232.48/1,700.66 = 813.64/x
  3. Step 3: Cross multiply
    1,232.48x = 1,700.66 × 813.64
  4. Step 4: Simplify right side
    1,232.48x = 1,383,712.43
  5. Step 5: Solve for x
    x = 1,383,712.43/1,232.48
  6. Step 6: Final answer
    x = 1,122.71

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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.