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Finding the Fourth Proportional to 1,245.43, 1,718.61 and 748.33

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Solution

The fourth proportional to 1,245.43, 1,718.61 and 748.33 is: 1,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.43 : 1,718.61 = 748.33 : x
  2. Step 2: Convert to fraction form
    1,245.43/1,718.61 = 748.33/x
  3. Step 3: Cross multiply
    1,245.43x = 1,718.61 × 748.33
  4. Step 4: Simplify right side
    1,245.43x = 1,286,087.42
  5. Step 5: Solve for x
    x = 1,286,087.42/1,245.43
  6. Step 6: Final answer
    x = 1,032.65

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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.