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Finding the Fourth Proportional to 795.44, 1,097.84 and 464.06

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Solution

The fourth proportional to 795.44, 1,097.84 and 464.06 is: 640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.44 : 1,097.84 = 464.06 : x
  2. Step 2: Convert to fraction form
    795.44/1,097.84 = 464.06/x
  3. Step 3: Cross multiply
    795.44x = 1,097.84 × 464.06
  4. Step 4: Simplify right side
    795.44x = 509,464.05
  5. Step 5: Solve for x
    x = 509,464.05/795.44
  6. Step 6: Final answer
    x = 640.48

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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.