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Finding the Fourth Proportional to 1,232.36, 1,845.84 and 581.12

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Solution

The fourth proportional to 1,232.36, 1,845.84 and 581.12 is: 870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.36 : 1,845.84 = 581.12 : x
  2. Step 2: Convert to fraction form
    1,232.36/1,845.84 = 581.12/x
  3. Step 3: Cross multiply
    1,232.36x = 1,845.84 × 581.12
  4. Step 4: Simplify right side
    1,232.36x = 1,072,654.54
  5. Step 5: Solve for x
    x = 1,072,654.54/1,232.36
  6. Step 6: Final answer
    x = 870.41

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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.