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Finding the Fourth Proportional to 795.37, 1,097.56 and 441.28

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Solution

The fourth proportional to 795.37, 1,097.56 and 441.28 is: 608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.37 : 1,097.56 = 441.28 : x
  2. Step 2: Convert to fraction form
    795.37/1,097.56 = 441.28/x
  3. Step 3: Cross multiply
    795.37x = 1,097.56 × 441.28
  4. Step 4: Simplify right side
    795.37x = 484,331.28
  5. Step 5: Solve for x
    x = 484,331.28/795.37
  6. Step 6: Final answer
    x = 608.94

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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.