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Finding the Fourth Proportional to 1,372.02, 1,893.42 and 751.02

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Solution

The fourth proportional to 1,372.02, 1,893.42 and 751.02 is: 1,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.02 : 1,893.42 = 751.02 : x
  2. Step 2: Convert to fraction form
    1,372.02/1,893.42 = 751.02/x
  3. Step 3: Cross multiply
    1,372.02x = 1,893.42 × 751.02
  4. Step 4: Simplify right side
    1,372.02x = 1,421,996.29
  5. Step 5: Solve for x
    x = 1,421,996.29/1,372.02
  6. Step 6: Final answer
    x = 1,036.43

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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.