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Finding the Fourth Proportional to 1,009.62, 1,393.41 and 748.38

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Solution

The fourth proportional to 1,009.62, 1,393.41 and 748.38 is: 1,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.62 : 1,393.41 = 748.38 : x
  2. Step 2: Convert to fraction form
    1,009.62/1,393.41 = 748.38/x
  3. Step 3: Cross multiply
    1,009.62x = 1,393.41 × 748.38
  4. Step 4: Simplify right side
    1,009.62x = 1,042,800.18
  5. Step 5: Solve for x
    x = 1,042,800.18/1,009.62
  6. Step 6: Final answer
    x = 1,032.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.