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Finding the Fourth Proportional to 749.25, 1,123.79 and 201.40

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Solution

The fourth proportional to 749.25, 1,123.79 and 201.40 is: 302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.25 : 1,123.79 = 201.40 : x
  2. Step 2: Convert to fraction form
    749.25/1,123.79 = 201.40/x
  3. Step 3: Cross multiply
    749.25x = 1,123.79 × 201.40
  4. Step 4: Simplify right side
    749.25x = 226,331.31
  5. Step 5: Solve for x
    x = 226,331.31/749.25
  6. Step 6: Final answer
    x = 302.08

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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.