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Finding the Fourth Proportional to 1,269.41, 1,905.57 and 749.79

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Solution

The fourth proportional to 1,269.41, 1,905.57 and 749.79 is: 1,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.41 : 1,905.57 = 749.79 : x
  2. Step 2: Convert to fraction form
    1,269.41/1,905.57 = 749.79/x
  3. Step 3: Cross multiply
    1,269.41x = 1,905.57 × 749.79
  4. Step 4: Simplify right side
    1,269.41x = 1,428,777.33
  5. Step 5: Solve for x
    x = 1,428,777.33/1,269.41
  6. Step 6: Final answer
    x = 1,125.55

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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.