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Finding the Fourth Proportional to 795.41, 1,097.66 and 441.32

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Solution

The fourth proportional to 795.41, 1,097.66 and 441.32 is: 609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.41 : 1,097.66 = 441.32 : x
  2. Step 2: Convert to fraction form
    795.41/1,097.66 = 441.32/x
  3. Step 3: Cross multiply
    795.41x = 1,097.66 × 441.32
  4. Step 4: Simplify right side
    795.41x = 484,411.62
  5. Step 5: Solve for x
    x = 484,411.62/795.41
  6. Step 6: Final answer
    x = 609.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.