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Finding the Fourth Proportional to 1,254.36, 1,731.42 and 730.56

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Solution

The fourth proportional to 1,254.36, 1,731.42 and 730.56 is: 1,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.36 : 1,731.42 = 730.56 : x
  2. Step 2: Convert to fraction form
    1,254.36/1,731.42 = 730.56/x
  3. Step 3: Cross multiply
    1,254.36x = 1,731.42 × 730.56
  4. Step 4: Simplify right side
    1,254.36x = 1,264,906.20
  5. Step 5: Solve for x
    x = 1,264,906.20/1,254.36
  6. Step 6: Final answer
    x = 1,008.41

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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.