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Finding the Fourth Proportional to 1,270.28, 1,905.78 and 923.96

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Solution

The fourth proportional to 1,270.28, 1,905.78 and 923.96 is: 1,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.28 : 1,905.78 = 923.96 : x
  2. Step 2: Convert to fraction form
    1,270.28/1,905.78 = 923.96/x
  3. Step 3: Cross multiply
    1,270.28x = 1,905.78 × 923.96
  4. Step 4: Simplify right side
    1,270.28x = 1,760,864.49
  5. Step 5: Solve for x
    x = 1,760,864.49/1,270.28
  6. Step 6: Final answer
    x = 1,386.20

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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.