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Finding the Fourth Proportional to 1,369.14, 1,889.46 and 748.14

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Solution

The fourth proportional to 1,369.14, 1,889.46 and 748.14 is: 1,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.14 : 1,889.46 = 748.14 : x
  2. Step 2: Convert to fraction form
    1,369.14/1,889.46 = 748.14/x
  3. Step 3: Cross multiply
    1,369.14x = 1,889.46 × 748.14
  4. Step 4: Simplify right side
    1,369.14x = 1,413,580.60
  5. Step 5: Solve for x
    x = 1,413,580.60/1,369.14
  6. Step 6: Final answer
    x = 1,032.46

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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.