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Finding the Fourth Proportional to 749.30, 1,123.34 and 262.31

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Solution

The fourth proportional to 749.30, 1,123.34 and 262.31 is: 393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.30 : 1,123.34 = 262.31 : x
  2. Step 2: Convert to fraction form
    749.30/1,123.34 = 262.31/x
  3. Step 3: Cross multiply
    749.30x = 1,123.34 × 262.31
  4. Step 4: Simplify right side
    749.30x = 294,656.39
  5. Step 5: Solve for x
    x = 294,656.39/749.30
  6. Step 6: Final answer
    x = 393.24

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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.