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Finding the Fourth Proportional to 748.56, 1,123.08 and 286.48

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Solution

The fourth proportional to 748.56, 1,123.08 and 286.48 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.56 : 1,123.08 = 286.48 : x
  2. Step 2: Convert to fraction form
    748.56/1,123.08 = 286.48/x
  3. Step 3: Cross multiply
    748.56x = 1,123.08 × 286.48
  4. Step 4: Simplify right side
    748.56x = 321,739.96
  5. Step 5: Solve for x
    x = 321,739.96/748.56
  6. Step 6: Final answer
    x = 429.81

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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.