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Finding the Fourth Proportional to 748.68, 1,123.07 and 200.93

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Solution

The fourth proportional to 748.68, 1,123.07 and 200.93 is: 301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.68 : 1,123.07 = 200.93 : x
  2. Step 2: Convert to fraction form
    748.68/1,123.07 = 200.93/x
  3. Step 3: Cross multiply
    748.68x = 1,123.07 × 200.93
  4. Step 4: Simplify right side
    748.68x = 225,651.84
  5. Step 5: Solve for x
    x = 225,651.84/748.68
  6. Step 6: Final answer
    x = 301.40

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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.