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Finding the Fourth Proportional to 749.51, 1,123.46 and 311.04

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Solution

The fourth proportional to 749.51, 1,123.46 and 311.04 is: 466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.51 : 1,123.46 = 311.04 : x
  2. Step 2: Convert to fraction form
    749.51/1,123.46 = 311.04/x
  3. Step 3: Cross multiply
    749.51x = 1,123.46 × 311.04
  4. Step 4: Simplify right side
    749.51x = 349,439.44
  5. Step 5: Solve for x
    x = 349,439.44/749.51
  6. Step 6: Final answer
    x = 466.23

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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.