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Finding the Fourth Proportional to 749.93, 1,125.00 and 281.56

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Solution

The fourth proportional to 749.93, 1,125.00 and 281.56 is: 422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.93 : 1,125.00 = 281.56 : x
  2. Step 2: Convert to fraction form
    749.93/1,125.00 = 281.56/x
  3. Step 3: Cross multiply
    749.93x = 1,125.00 × 281.56
  4. Step 4: Simplify right side
    749.93x = 316,747.97
  5. Step 5: Solve for x
    x = 316,747.97/749.93
  6. Step 6: Final answer
    x = 422.37

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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.