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Finding the Fourth Proportional to 1,293.28, 1,939.57 and 882.34

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Solution

The fourth proportional to 1,293.28, 1,939.57 and 882.34 is: 1,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.28 : 1,939.57 = 882.34 : x
  2. Step 2: Convert to fraction form
    1,293.28/1,939.57 = 882.34/x
  3. Step 3: Cross multiply
    1,293.28x = 1,939.57 × 882.34
  4. Step 4: Simplify right side
    1,293.28x = 1,711,360.19
  5. Step 5: Solve for x
    x = 1,711,360.19/1,293.28
  6. Step 6: Final answer
    x = 1,323.27

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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.